Available Online through
|
|
- Julia Clark
- 5 years ago
- Views:
Transcription
1 ISSN: X CODEN: IJPTFI Available Online through Research Article 0-EDGE MAGIC LABELING OF SHADOW GRAPH J.Jayapriya*, Department of Mathematics, Sathyabama University, Chennai-119, India. Received on Accepted on Abstract: In this paper existence of 0-edge magic labeling of shadow graph for D 2 (P n ), D 2 (C n ), D 2 (K 1,n ), D 2 (B m,n ), m,n 2 are exhibited. Key words: Graph labeling, shadow graph, D 2 (P n ), D 2 (C n ), D 2 (K 1,n ), D 2 (B m,n ) etc. 1. Introduction: Graph labeling plays a vital role in Engineering Science and Technology. Growth of labeling has yielded many Applications. A useful survey to know about the numerous graph labeling methods is the one by (Gallian, 2013).Here in this article some results on 0-edge magic labeling of shadow graph is proved which was introduced by J.Jayapriya in the year A 0-edge magic labeling of a simple graph G with vertex set V is a function f from V to { 1, 1} such that every edge uv has the label f (u) + f (v) = Results on 0-edge magic labeling of shadow graph: Theorem 2.1. The graph D 2 (P n ) admits 0-edge magic labeling. Proof. The graph G (V, E) = D 2 (P n ) has 2n vertices and 4n 4 edges. Let V(G) = {v i : 1 i n} { v i : 1 i n} and E(G) = { v i v i+1 : 1 i n 1} { v i v i+1 : 1 i n 1} { v i v i+1 : 1 i n 1 } { v i v i-1 : 2 i n}. Let f : V {1, 1} such that f(v i ) = f(v i ) = ( 1) i : 1 i n. For 1 i n 1; f(v i )+f(v i+1 ) = 0. For 1 i n 1; f(v i )+f(v i+1 ) = 0. For 2 i n; f(v i )+f(v i-1 ) = 0. IJPT March-2016 Vol. 8 Issue No Page 10358
2 For 1 i n 1; f(v i )+f(v i+1 ) = 0. Thus all edge receives value 0. Hence the graph D 2 (P n ) admits 0-edge magic labeling. 0-edge magic labeling of D 2 (P 5 ) is given in Figure Figure Edge Magic Labeling of D 2 (P 5 ) Theorem 2.2. The graph D 2 (C n ) when n 0 (mod 2) admits 0-edge magic labeling. Proof. The graph G (V, E) = D 2 (C n ) has 2n vertices and 4n edges. Let V(G)= { v i :1 i n} { v i :1 i n} and E(G)= { v i v i+1 : 1 i n 1} { v i v i+1 : 1 i n 1} { v i v i+1 : 1 i n 1 } { v i v i-1 : 2 i n} {v 1 v n,v n v 1, v n v 1, v n v n }. Let f:v {1, 1} such that f(v i ) = f(v i )=( 1) i : 1 i n. For 1 i n 1; f(v i )+f(v i+1 )= 0. For 2 i n; f(v i )+f(v i-1 )= 0. For 1 i n 1; f(v i )+f(v i+1 )= 0. Also f(v 1 )+f(v n ) = 0, f( v n )+ f(v 1 ) = 0. Thus all edge weight receives value 0. Hence the graph D 2 (C n ) admits 0-edge magic labeling. Figure 2.2 is an example of 0-edge magic labeling of D 2 (C 4 ). IJPT March-2016 Vol. 8 Issue No Page 10359
3 Figure Edge Magic Labeling of D 2 (C 4 ) Theorem 2.3. The graph D 2 (K 1,n ) admits 0-edge magic labeling. Proof. The graph G(V,E)= D 2 (K 1,n ) has 2n+2 vertices and 4n edges. Let V(G)= { v i :1 i n+1} { v i :1 i n+1} and E(G)= { v 1 v i : 2 i n+1} { v 1 v i : 2 i n+1} { v 1 v i : 2 i n+1 } { v i v i : 2 i n+1}. Let f:v {1, 1} such that f(v i ) = f(v i )=( 1) i : 1 i n. The edge weights are calculated as follows : For 2 i n+1; f( v 1 )+f(v i )= 0. For 2 i n+1; f(v 1 ))+f(v i ))= 0. For 2 i n; f(v 1 )+f(v i )= 0. For 1 i n 1; f(v i )+f(v i )= 0. Thus all edge receives value 0. Hence the graph D 2 (K 1,n ) admits 0-edge magic labeling. 0-edge magic labeling of D 2 (K 1,3 ) is shown in 2.3 Figure Edge Magic Labeling Of D 2 (K 1,3 ) Theorem 2.4. The graph D 2 (B m, n ) m, n 2 admits 0-edge magic labeling. IJPT March-2016 Vol. 8 Issue No Page 10360
4 Proof. The graph G(V,E)= D 2 (B m, n ) has 2m+2n+4 vertices and 4m+4n+4 edges. Let V(G)= { v i,v i :1 i m+1} { u i, u i :1 i n+1} and E(G)= {v 1 v i : 2 i m+1} {u 1 u i : 2 i n+1} {v 1 v i : 2 i m+1} {u 1 u i : 2 i n+1} {u 1 v 1 } {u 1 v 1 } {u 1 v 1 } {v i v 1 : 2 i m+1} {u i u 1 : 2 i n+1}. Let f :V {1, 1} such that f(u i ) = f(u i )= 1 : 2 i n+1, f(v i ) = f(v i )=1 : 2 i m+1, f(u 1 ) = f(u 1 )=1, f(v 1 ) = f(v 1 )= 1. For 2 i m+1; f( v 1 )+f(v i )= 0. For 2 i n+1; f( u 1 )+f(u i )= 0. For 2 i m+1; f(v 1 )+f(v i )= 0. For 2 i n+1; f(u 1 )+f(u i )= 0. For 2 i m+1; f(v i )+f(v 1 )= 0. For 2 i n+1; f(u i )+f(u 1 )= 0. Also f(u 1 )+f(v 1 )=0, f(u 1 )+f(v 1 )=0, f(u 1 )+f(v 1 )=0. Thus all edge receives value 0. Hence the graph D 2 (B m,n ) admits 0-edge magic labeling. Figure2.4 is an example of 0-edge magic labeling of D 2 (B 3, 2 ). Figure Edge Magic Labeling of D 2 (B 3, 2 ) IJPT March-2016 Vol. 8 Issue No Page 10361
5 3. Conclusion Thus 0-edge magic labeling for some class of graphs namely D 2 (P n ), D 2 (C n ), D 2 (K 1,n ), D 2 (B m,n ), m,n 2 are exhibited. 4. References: 1. J.A Gallian, (2013) A dynamic survey of graph labeling, Electronic Journal of Combinatory, Vol. 20, DS6. 2. J.Jayapriya, 0-edge magic labeling of Splitting graph, Global Journal of Pure and Applied Mathematics, Vol 12 No (Accepted for publication) 3. J.Jayapriya, On Certain Types Of Magic and Antimagic Labeling with Applications, Thesis, Sathyabama University Kotzig. A and Rosa. A (1970) Magic valuations of finite graphs, Canadian Mathematical Bulletin, Vol. 13, pp Corresponding Author: J.Jayapriya*, murudurai@gmail.com IJPT March-2016 Vol. 8 Issue No Page 10362
ROOT SQUARE MEAN GRAPHS OF ORDER 5
Available online at http://scik.org J. Math. Comput. Sci. 5 (2015), No. 5, 708-715 ISSN: 1927-5307 ROOT SQUARE MEAN GRAPHS OF ORDER 5 S.S. SANDHYA 1 S. SOMASUNDARAM 2 AND S. ANUSA 3,* 1 Department of Mathematics,
More informationSuper Root Square Mean Labeling Of Disconnected Graphs
International Journal of Mathematics And its Applications Volume 4, Issue 1 C (2016), 93 98. ISSN: 2347-1557 Available Online: http://ijmaa.in/ International Journal 2347-1557 of Mathematics Applications
More informationSQUARE DIFFERENCE 3-EQUITABLE LABELING FOR SOME GRAPHS. Sattur , TN, India. Sattur , TN, India.
International Journal of Science, Engineering Technology Research (IJSETR), Volume 5, Issue, March 2016 SQUARE DIFFERENCE -EQUITABLE LABELING FOR SOME GRAPHS R Loheswari 1 S Saravana kumar 2 1 Research
More informationOdd Sum Labeling of Tree Related Graphs
International Journal of Mathematics And its Applications Volume 4, Issue 4 (016), 11 16. ISSN: 347-1557 Available Online: http://ijmaa.in/ International Journal 347-1557 of Mathematics Applications And
More informationDifference Cordial Labeling of Graphs Obtained from Double Snakes
International Journal of Mathematics Research. ISSN 0976-5840 Volume 5, Number 3 (013), pp. 317-3 International Research Publication House http://www.irphouse.com Difference Cordial Labeling of Graphs
More informationSuper Fibonacci Graceful Labeling
International J.Math. Combin. Vol. (010), -40 Super Fibonacci Graceful Labeling R. Sridevi 1, S.Navaneethakrishnan and K.Nagarajan 1 1. Department of Mathematics, Sri S.R.N.M.College, Sattur - 66 0, Tamil
More informationMagic Graphoidal on Class of Trees A. Nellai Murugan
Bulletin of Mathematical Sciences and Applications Online: 2014-08-04 ISSN: 2278-9634, Vol. 9, pp 33-44 doi:10.18052/www.scipress.com/bmsa.9.33 2014 SciPress Ltd., Switzerland Magic Graphoidal on Class
More informationGraceful Labeling for Complete Bipartite Graphs
Applied Mathematical Sciences, Vol. 8, 2014, no. 103, 5099-5104 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ams.2014.46488 Graceful Labeling for Complete Bipartite Graphs V. J. Kaneria Department
More informationMean Cordial Labeling of Tadpole and Olive Tree
Annals of Pure and Applied Mathematics Vol. 11, No. 2, 216, 19-116 ISSN: 2279-87X (P), 2279-888(online) Published on 8 June 216 www.researchmathsci.org Annals of Mean Cordial Labeling of Tadpole and Olive
More informationGraceful Labeling of Some Theta Related Graphs
Intern. J. Fuzzy Mathematical Archive Vol. 2, 2013, 78-84 ISSN: 2320 3242 (P), 2320 3250 (online) Published on 11 September 2013 www.researchmathsci.org International Journal of Graceful Labeling of Some
More informationOn Super Edge-magic Total Labeling of Modified Watermill Graph
Journal of Physics: Conference Series PAPER OPEN ACCESS On Super Edge-magic Total Labeling of Modified Watermill Graph To cite this article: Nurdin et al 018 J. Phys.: Conf. Ser. 979 01067 View the article
More informationOn the Gracefulness of Cycle related graphs
Volume 117 No. 15 017, 589-598 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu ijpam.eu On the Gracefulness of Cycle related graphs S.Venkatesh 1 and S. Sivagurunathan
More informationSUPER ROOT SQUARE MEAN LABELING OF SOME NEW GRAPHS
SUPER ROOT SQUARE MEAN LABELING OF SOME NEW GRAPHS 1 S.S.Sandhya S.Somasundaram and 3 S.Anusa 1.Department of Mathematics,Sree Ayyappa College for women,chunkankadai:69003,.department of Mathematics, Manonmaniam
More informationDepartment of Mathematics, Sri Krishna Institute of Technology, Bengaluru , Karnataka, India. *Correspondence author s
Global Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 13, Number 9 (017), pp. 6393-6406 Research India Publications http://www.ripublication.com ON SUPER (a, d)-anti-edgemagic OF C m ok
More informationInternational Journal of Scientific Research and Reviews
Research article Available online www.ijsrr.org ISSN: 2279 0543 International Journal of Scientific Research and Reviews Fibonacci Prime Labeling of Udukkai and Octopus Graphs Chandrakala S. *1 and Sekar
More informationarxiv: v2 [math.co] 26 Apr 2014
Super edge-magic deficiency of join-product graphs arxiv:1401.45v [math.co] 6 Apr 014 A.A.G. Ngurah 1 Department of Civil Engineering Universitas Merdeka Malang Jalan Taman Agung No. 1 Malang, Indonesia
More informationOne Modulo Three Harmonic Mean Labeling of Graphs
International Journal of Mathematics Research. ISSN 0976-5840 Volume 5, Number 4 (20), pp. 4-422 International Research Publication House http://www.irphouse.com One Modulo Three Harmonic Mean Labeling
More informationOn (Super) Edge-Magic Total Labeling of Subdivision of K 1,3
SUT Journal of Mathematics Vol. 43, No. (007), 17 136 On (Super) Edge-Magic Total Labeling of Subdivision of K 1,3 Anak Agung Gede Ngurah, Rinovia Simanjuntak and Edy Tri Baskoro (Received August 31, 006)
More informationSOME EXTENSION OF 1-NEAR MEAN CORDIAL LABELING OF GRAPHS. Sattur , TN, India.
SOME EXTENSION OF 1-NEAR MEAN CORDIAL LABELING OF GRAPHS A.Raja Rajeswari 1 and S.Saravana Kumar 1 Research Scholar, Department of Mathematics, Sri S.R.N.M.College, Sattur-66 03, TN, India. Department
More informationIntegral Root Labeling of Graphs 1 V.L. Stella Arputha Mary & 2 N. Nanthini
International Journal of Mathematics Trends and Technology (IJMTT) Volume Number - February 08 Integral Root Labeling of Graphs V.L. Stella Arputha Mary & N. Nanthini Department of Mathematics, St. Mary
More informationSuper edge-magic labeling of graphs: deficiency and maximality
Electronic Journal of Graph Theory and Applications 5 () (017), 1 0 Super edge-magic labeling of graphs: deficiency and maximality Anak Agung Gede Ngurah a, Rinovia Simanjuntak b a Department of Civil
More informationPower Mean Labeling of Identification Graphs
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 6, Issue, 208, PP -6 ISSN 2347-307X (Print) & ISSN 2347-342 (Online) DOI: http://dx.doi.org/0.2043/2347-342.06000
More informationOdd-even sum labeling of some graphs
International Journal of Mathematics and Soft Computing Vol.7, No.1 (017), 57-63. ISSN Print : 49-338 Odd-even sum labeling of some graphs ISSN Online : 319-515 K. Monika 1, K. Murugan 1 Department of
More informationHarmonic Mean Labeling for Some Special Graphs
International Journal of Mathematics Research. ISSN 0976-5840 Volume 5, Number 1 (2013), pp. 55-64 International Research Publication House http://www.irphouse.com Harmonic Mean Labeling for Some Special
More informationSum divisor cordial labeling for star and ladder related graphs
Proyecciones Journal of Mathematics Vol. 35, N o 4, pp. 437-455, December 016. Universidad Católica del Norte Antofagasta - Chile Sum divisor cordial labeling for star and ladder related graphs A. Lourdusamy
More informationSuper Fibonacci Graceful Labeling of Some Special Class of Graphs
International J.Math. Combin. Vol.1 (2011), 59-72 Super Fibonacci Graceful Labeling of Some Special Class of Graphs R.Sridevi 1, S.Navaneethakrishnan 2 and K.Nagarajan 1 1. Department of Mathematics, Sri
More informationOn Odd Sum Graphs. S.Arockiaraj. Department of Mathematics. Mepco Schlenk Engineering College, Sivakasi , Tamilnadu, India. P.
International J.Math. Combin. Vol.4(0), -8 On Odd Sum Graphs S.Arockiaraj Department of Mathematics Mepco Schlenk Engineering College, Sivakasi - 66 00, Tamilnadu, India P.Mahalakshmi Department of Mathematics
More informationSome New Results on Super Stolarsky-3 Mean Labeling of Graphs
International Journal of Mathematics Research. ISSN 0976-5840 Volume 10, Number 1 (2018), pp. 7-20 International Research Publication House http://www.irphouse.com Some New Results on Super Stolarsky-3
More informationOn Graceful Labeling of Some Bicyclic Graphs
Intern. J. Fuzzy Mathematical Archive Vol. 3, 2013, 1-8 ISSN: 2320 3242 (P), 2320 3250 (online) Published on 4 October 2013 www.researchmathsci.org International Journal of On Graceful Labeling of Some
More informationFurther results on relaxed mean labeling
Int. J. Adv. Appl. Math. and Mech. 3(3) (016) 9 99 (ISSN: 347-59) Journal homepage: www.ijaamm.com IJAAMM International Journal of Advances in Applied Mathematics and Mechanics Further results on relaxed
More informationQ(a)- Balance Edge Magic of Sun family Graphs
Volume-6, Issue-3, May-June 2016 International Journal of Engineering and Management Research Page Number: 143-149 Q(a)- Balance Edge Magic of Sun family Graphs S.Vimala 1, R.Prabavathi 2 1 Assistant Professor,
More informationFurther Studies on the Sparing Number of Graphs
Further Studies on the Sparing Number of Graphs N K Sudev 1, and K A Germina 1 Department of Mathematics arxiv:1408.3074v1 [math.co] 13 Aug 014 Vidya Academy of Science & Technology Thalakkottukara, Thrissur
More informationRoot Square Mean Labeling of Some More. Disconnected Graphs
International Mathematical Forum, Vol. 10, 2015, no. 1, 25-34 HIKARI Ltd,www.m-hikari.com http://dx.doi.org/10.12988/imf.2015.411196 Root Square Mean Labeling of Some More Disconnected Graphs S. S. Sandhya
More informationk-difference cordial labeling of graphs
International J.Math. Combin. Vol.(016), 11-11 k-difference cordial labeling of graphs R.Ponraj 1, M.Maria Adaickalam and R.Kala 1.Department of Mathematics, Sri Paramakalyani College, Alwarkurichi-6741,
More informationNew Constructions of Antimagic Graph Labeling
New Constructions of Antimagic Graph Labeling Tao-Ming Wang and Cheng-Chih Hsiao Department of Mathematics Tunghai University, Taichung, Taiwan wang@thu.edu.tw Abstract An anti-magic labeling of a finite
More informationGraceful Related Labeling and its Applications
International Journal of Mathematics Research (IJMR). ISSN 0976-5840 Volume 7, Number 1 (015), pp. 47 54 International Research Publication House http://www.irphouse.com Graceful Related Labeling and its
More informationTopological Integer Additive Set-Graceful Graphs
Topological Integer Additive Set-Graceful Graphs N. K.Sudev arxiv:1506.01240v1 [math.gm] 3 Jun 2015 Department of Mathematics, Vidya Academy of Science & Technology, Thalakkottukara, Thrissur - 680501,
More informationLucky Edge Labeling of P n, C n and Corona of P n, C n
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume, Issue 8, August 0, PP 70-78 ISSN 7-07X (Print) & ISSN 7- (Online) www.arcjournals.org Lucky Edge Labeling of P
More informationGraceful polynomials of small degree
Graceful polynomials of small degree Andrea Vietri 1 1 Dipartimento di Scienze di Base e Applicate per l Ingegneria Sapienza Università di Roma WAGTCN2018, Naples, 13-14 September 2018 Andrea Vietri 1
More informationSome Edge-magic Cubic Graphs
Some Edge-magic Cubic Graphs W. C. Shiu Department of Mathematics Hong Kong Baptist University 4 Waterloo Road, Kowloon Tong Hong Kong, China. and Sin-Min Lee Department of Mathematics and Computer Science
More informationMixed cycle-e-super magic decomposition of complete bipartite graphs
Journal of Algorithms and Computation journal homepage: http://jac.ut.ac.ir Mixed cycle-e-super magic decomposition of complete bipartite graphs G. Marimuthu, 1 and S. Stalin Kumar 2 1 Department of Mathematics,
More informationGraceful Tree Conjecture for Infinite Trees
Graceful Tree Conjecture for Infinite Trees Tsz Lung Chan Department of Mathematics The University of Hong Kong, Pokfulam, Hong Kong h0592107@graduate.hku.hk Wai Shun Cheung Department of Mathematics The
More informationStrong Integer Additive Set-valued Graphs: A Creative Review
Strong Integer Additive Set-valued Graphs: A Creative Review N. K. Sudev Department of Mathematics Vidya Academy of Science & Technology Thalakkottukara, Thrissur-680501, India. K. A. Germina PG & Research
More informationSkolem Difference Mean Graphs
royecciones Journal of Mathematics Vol. 34, N o 3, pp. 43-54, September 015. Universidad Católica del Norte Antofagasta - Chile Skolem Difference Mean Graphs M. Selvi D. Ramya Dr. Sivanthi Aditanar College
More informationOn (k, d)-multiplicatively indexable graphs
Chapter 3 On (k, d)-multiplicatively indexable graphs A (p, q)-graph G is said to be a (k,d)-multiplicatively indexable graph if there exist an injection f : V (G) N such that the induced function f :
More informationPower Mean Labeling of some Standard Graphs
Power Mean Labeling of some Standard Graphs P. Mercy & S. Somasundaram Department of Mathematics Manomaniam Sundaranar University Tirunelveli-62702 Abstarct: A graph G = (V, E) is called a Power mean graph
More informationCombinatorial Labelings Of Graphs
Applied Mathematics E-Notes, 6(006), 51-58 c ISSN 1607-510 Available free at mirror sites of http://www.math.nthu.edu.tw/ amen/ Combinatorial Labelings Of Graphs Suresh Manjanath Hegde, Sudhakar Shetty
More informationPrime Cordial Labeling For Some Cycle Related Graphs
Int. J. Open Probles Copt. Math., Vol. 3, No. 5, Deceber 010 ISSN 1998-66; Copyright c ICSRS Publication, 010 www.i-csrs.org Prie Cordial Labeling For Soe Cycle Related Graphs S K Vaidya 1 and P L Vihol
More informationDistance labelings: a generalization of Langford sequences
Also available at http://amc-journal.eu ISSN -9 (printed edn.), ISSN -9 (electronic edn.) ARS MATHEMATICA CONTEMPORANEA (0) Distance labelings: a generalization of Langford sequences S. C. López Departament
More informationarxiv: v1 [math.co] 23 Apr 2015
On cycle-supermagic labelings of the disconnected graphs Syed Tahir Raza Rizvi, Kashif Ali arxiv:1506.06087v1 [math.co] 3 Apr 015 Graphs and Combinatorics Research Group, Department of Mathematical Sciences,
More informationH-E-Super magic decomposition of graphs
Electronic Journal of Graph Theory and Applications () (014), 115 18 H-E-Super magic decomposition of graphs S. P. Subbiah a, J. Pandimadevi b a Department of Mathematics Mannar Thirumalai Naicker College
More informationA Study on Integer Additive Set-Graceful Graphs
A Study on Integer Additive Set-Graceful Graphs N. K. Sudev arxiv:1403.3984v3 [math.co] 27 Sep 2015 Department of Mathematics Vidya Academy of Science & Technology Thalakkottukara, Thrissur, India. E-mail:
More informationAvailable Online through
Available Online through ISSN: 0975-766X CODEN: IJPTFI Research Article www.ijptonline.com NORMAL VAGUE IDEALS OF A Γ-NEAR RING S.Ragamayi* Department of Mathematics, K L University, Vaddeswaram, Guntur,
More informationSuper Mean Labeling of Some Classes of Graphs
International J.Math. Combin. Vol.1(01), 83-91 Super Mean Labeling of Some Classes of Graphs P.Jeyanthi Department of Mathematics, Govindammal Aditanar College for Women Tiruchendur-68 15, Tamil Nadu,
More informationThe Exquisite Integer Additive Set-Labeling of Graphs
The Exquisite Integer Additive Set-Labeling of Graphs N. K. Sudev 1, K. A. Germina 2 Department of Mathematics, Vidya Academy of Science & Technology, Thalakkottukara, Thrissur - 680501, Kerala, India.
More informationOF STAR RELATED GRAPHS
Discussiones Mathematicae Graph Theory 35 (015) 755 764 doi:10.7151/dmgt.183 ON SUPER (a, d)-h-antimagic TOTAL COVERING OF STAR RELATED GRAPHS KM. Kathiresan Centre for Research and Post Graduate Studies
More informationFurther Results on Square Sum Graph
International Mathematical Forum, Vol. 8, 2013, no. 1, 47-57 Further Results on Square Sum Graph K. A. Germina School of Mathematical and Physical Sciences Central University of Kerala, Kasaragode, India
More informationStrong Integer Additive Set-valued Graphs: A Creative Review
Strong Integer Additive Set-valued Graphs: A Creative Review N. K. Sudev arxiv:1504.07132v1 [math.gm] 23 Apr 2015 Department of Mathematics Vidya Academy of Science & Technology Thalakkottukara, Thrissur-680501,
More informationOn cordial labeling of hypertrees
On cordial labeling of hypertrees Michał Tuczyński, Przemysław Wenus, and Krzysztof Węsek Warsaw University of Technology, Poland arxiv:1711.06294v3 [math.co] 17 Dec 2018 December 19, 2018 Abstract Let
More informationk-remainder Cordial Graphs
Journal of Algorihms and Compuaion journal homepage: hp://jac.u.ac.ir k-remainder Cordial Graphs R. Ponraj 1, K. Annahurai and R. Kala 3 1 Deparmen of Mahemaics, Sri Paramakalyani College, Alwarkurichi
More informationarxiv: v2 [cs.dm] 27 Jun 2017
H-SUPERMAGIC LABELINGS FOR FIRECRACKERS, BANANA TREES AND FLOWERS RACHEL WULAN NIRMALASARI WIJAYA 1, ANDREA SEMANIČOVÁ-FEŇOVČÍKOVÁ, JOE RYAN 1, AND THOMAS KALINOWSKI 1 arxiv:1607.07911v [cs.dm] 7 Jun 017
More informationON CONSTRUCTIONS OF NEW SUPER EDGE-MAGIC GRAPHS FROM SOME OLD ONES BY ATTACHING SOME PENDANTS
Commun. Korean Math. Soc. 32 (2017), No. 1, pp. 225 231 https://doi.org/10.4134/ckms.c160044 pissn: 1225-1763 / eissn: 2234-3024 ON CONSTRUCTIONS OF NEW SUPER EDGE-MAGIC GRAPHS FROM SOME OLD ONES BY ATTACHING
More informationUNIVERSITÀ DEGLI STUDI DI ROMA LA SAPIENZA
UNIVERSITÀ DEGLI STUDI DI ROMA LA SAPIENZA On d-graceful labelings Anita Pasotti Quaderni Elettronici del Seminario di Geometria Combinatoria 7E (Maggio 0) http://wwwmatuniromait/~combinat/quaderni Dipartimento
More informationChapter 3. Antimagic Gl'aphs
Chapter 3 Antimagic Gl'aphs CHAPTER III ANTIMAGIC GRAPHS 3.1 Introduction In 1970 Kotzig and Rosa [81] defined the magic labeling of a graph G as a bijection f from VuE to {1,2,... IV u EI } such that
More informationGiven any simple graph G = (V, E), not necessarily finite, and a ground set X, a set-indexer
Chapter 2 Topogenic Graphs Given any simple graph G = (V, E), not necessarily finite, and a ground set X, a set-indexer of G is an injective set-valued function f : V (G) 2 X such that the induced edge
More informationOn Z 3 -Magic Labeling and Cayley Digraphs
Int. J. Contemp. Math. Sciences, Vol. 5, 00, no. 48, 357-368 On Z 3 -Magic Labeling and Cayley Digraphs J. Baskar Babujee and L. Shobana Department of Mathematics Anna University Chennai, Chennai-600 05,
More informationIN this paper we consider simple, finite, connected and
INTERNATIONAL JOURNAL OF MATHEMATICS AND SCIENTIFIC COMPUTING (ISSN: -5), VOL., NO., -Eqitable Labeling for Some Star and Bistar Related Graphs S.K. Vaidya and N.H. Shah Abstract In this paper we proe
More informationODD HARMONIOUS LABELING OF PLUS GRAPHS
BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE ISSN (p) 303-4874, ISSN (o) 303-4955 www.imvibl.org /JOURNALS / BULLETIN Vol. 7(017), 515-56 DOI: 10.751/BIMVI1703515J Former BULLETIN OF THE
More informationSome Results on Super Mean Graphs
International J.Math. Combin. Vol.3 (009), 8-96 Some Results on Super Mean Graphs R. Vasuki 1 and A. Nagarajan 1 Department of Mathematics, Dr.Sivanthi Aditanar College of Engineering, Tiruchendur - 68
More informationON SUPER EDGE-MAGIC LABELING OF SOME GRAPHS
Bull. Korean Math. Soc. 5 (008), No., pp. ON SUPER EDGE-MAGIC LABELING OF SOME GRAPHS Ji Yeon Park, Jin Hyuk Choi, and Jae-Hyeong Bae Reprinted from the Bulletin of the Korean Mathematical Society Vol.
More informationOn the super edge-magic deficiency of some families related to ladder graphs
AUSTRALASIAN JOURNAL OF COMBINATORICS Volume 51 (011), Pages 01 08 On the super edge-magic deficiency of some families related to ladder graphs Ali Ahmad Department of Mathematics GC University Lahore
More informationLabelings of unions of up to four uniform cycles
AUSTRALASIAN JOURNAL OF COMBINATORICS Volume 29 (2004), Pages 323 336 Labelings of unions of up to four uniform cycles Diane Donovan Centre for Discrete Mathematics and Computing Department of Mathematics
More informationGroup connectivity of certain graphs
Group connectivity of certain graphs Jingjing Chen, Elaine Eschen, Hong-Jian Lai May 16, 2005 Abstract Let G be an undirected graph, A be an (additive) Abelian group and A = A {0}. A graph G is A-connected
More informationOn (a, d)-vertex-antimagic total labeling of Harary graphs
On (a, d)-ertex-antimagic total labeling of Harary graphs M. Hussain 1, Kashif Ali 1, M. T. Rahim, Edy Tri Baskoro 3 1 COMSATS Institute of Information Technology, Lahore Campus, Pakistan {muhammad.hussain,kashif.ali}@ciitlahore.edu.pk
More informationSUPERMAGIC GENERALIZED DOUBLE GRAPHS 1
Discussiones Mathematicae Graph Theory 36 (2016) 211 225 doi:10.7151/dmgt.1849 SUPERMAGIC GENERALIZED DOUBLE GRAPHS 1 Jaroslav Ivančo Institute of Mathematics, P.J. Šafárik University Jesenná 5, 040 01
More informationA Creative Review on Integer Additive Set-Valued Graphs
A Creative Review on Integer Additive Set-Valued Graphs N. K. Sudev arxiv:1407.7208v2 [math.co] 30 Jan 2015 Department of Mathematics Vidya Academy of Science & Technology Thalakkottukara, Thrissur-680501,
More informationON SET-INDEXERS OF GRAPHS
Palestine Journal of Mathematics Vol. 3(2) (2014), 273 280 Palestine Polytechnic University-PPU 2014 ON SET-INDEXERS OF GRAPHS Ullas Thomas and Sunil C Mathew Communicated by Ayman Badawi MSC 2010 Classification:
More informationOn P 2 P n -Supermagic Labeling of Edge Corona Product of Cycle and Path Graph
On P P n -Supermagic Labeling of Edge Corona Product of Cycle and Path Graph Riza Yulianto and Titin Sri Martini Mathematics Department of Mathematics and Natural Sciences Faculty, Universitas Sebelas
More informationResearch Article Some New Results on Prime Cordial Labeling
ISRN Combinatorics Volume 014, Article ID 07018, 9 pages http://dx.doi.org/10.1155/014/07018 Research Article Some New Results on Prime Cordial Labeling S. K. Vaidya 1 andn.h.shah 1 Saurashtra University,
More informationDISTANCE LABELINGS: A GENERALIZATION OF LANGFORD SEQUENCES. 1. Introduction
DISTANCE LABELINGS: A GENERALIZATION OF LANGFORD SEQUENCES S. C. LÓPEZ AND F. A. MUNTANER-BATLE Abstract. A Langford sequence of order m and defect d can be identified with a labeling of the vertices of
More informationSUPER MEAN NUMBER OF A GRAPH
Kragujevac Journal of Mathematics Volume Number (0), Pages 9 0. SUPER MEAN NUMBER OF A GRAPH A. NAGARAJAN, R. VASUKI, AND S. AROCKIARAJ Abstract. Let G be a graph and let f : V (G) {,,..., n} be a function
More informationOn Total Domination Polynomials of Certain Graphs
Journal of Mathematics and System Science 6 (2016) 123-127 doi: 10.17265/2159-5291/2016.03.004 D DAVID PUBLISHING S. Sanal 1 and H. E. Vatsalya 2 1. Faculty of Mathematics, Ibri College of Technology,
More informationPAijpam.eu SOME NEW SUM PERFECT SQUARE GRAPHS S.G. Sonchhatra 1, G.V. Ghodasara 2
Internatonal Journal of Pure and Appled Mathematcs Volume 113 No. 3 2017, 489-499 ISSN: 1311-8080 (prnted verson); ISSN: 1314-3395 (on-lne verson) url: http://www.jpam.eu do: 10.12732/jpam.v1133.11 PAjpam.eu
More informationUNION OF DISTANCE MAGIC GRAPHS
Discussiones Mathematicae Graph Theory 37 (2017) 239 249 doi:10.7151/dmgt.1932 UNION OF DISTANCE MAGIC GRAPHS Sylwia Cichacz 1 and Mateusz Nikodem 2 AGH University of Science and Technology e-mail: cichacz@agh.edu.pl
More informationThe Arithmetic of Graph Polynomials. Maryam Farahmand. A dissertation submitted in partial satisfaction of the. requirements for the degree of
The Arithmetic of Graph Polynomials by Maryam Farahmand A dissertation submitted in partial satisfaction of the requirements for the degree of Doctor of Philosophy in Mathematics in the Graduate Division
More informationTotal Mean Cordiality ofk c n + 2K 2
Palestine Journal of Mathematics Vol () (15), 1 8 Palestine Polytechnic University-PPU 15 Total Mean Cordiality ofk c n + K R Ponraj and S Sathish Narayanan Communicated by Ayman Badawi MSC 1 Classifications:
More informationPyramidal Sum Labeling In Graphs
ISSN : 48-96, Vol 8, Issue 4, ( Part -I) April 8, pp-9 RESEARCH ARTICLE Pyramidal Sum Labeling In Graphs OPEN ACCESS HVelet Getzimah, D S T Ramesh ( department Of Mathematics, Pope s College, Sayerpuram-68,Ms
More informationNEW METHODS FOR MAGIC TOTAL LABELINGS OF GRAPHS
NEW METHODS FOR MAGIC TOTAL LABELINGS OF GRAPHS A THESIS SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Inne Singgih IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE
More informationOn zero-sum partitions and anti-magic trees
Discrete Mathematics 09 (009) 010 014 Contents lists available at ScienceDirect Discrete Mathematics journal homepage: wwwelseviercom/locate/disc On zero-sum partitions and anti-magic trees Gil Kaplan,
More informationThe article analyzes the process of vapor transfer through building materials, taking into account their real operation
ISSN: 0975-766X CODEN: IJPTFI Available Online through Research Article www.ijptonline.com ABOUT OPERATIONAL FACTOR INFLUENCE ON VAPOR PERMEABILITY OF HEAT-INSULATING MATERIALS A.S. Petrov, V.N. Kupriyanov
More informationEven Star Decomposition of Complete Bipartite Graphs
Journal of Mathematics Research; Vol. 8, No. 5; October 2016 ISSN 1916-9795 E-ISSN 1916-9809 Published by Canadian Center of Science and Education Even Star Decomposition of Complete Bipartite Graphs E.
More informationL(2,1)-Labeling: An Algorithmic Approach to Cycle Dominated Graphs
MATEMATIKA, 2014, Volume 30, Number 2, 109-116 c UTM Centre for Industrial and Applied Mathematics L(2,1)-Labeling: An Algorithmic Approach to Cycle Dominated Graphs Murugan Muthali Tamil Nadu Open University
More informationON SUPER HERONIAN MEAN LABELING OF GRAPHS
ON SUPER HERONIAN MEAN LABELING OF GRAPHS S.S.Sandhya Department of Mathematics, Sree Ayyappa College for Women, Chunkankadai- 00,Tamilnadu,India. E.Ebin Raja Merly Department of Mathematics, Nesamony
More informationOn Orthogonal Double Covers of Complete Bipartite Graphs by Disjoint Unions of Graph-Paths
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 2, Issue 3, March 2014, PP 281-288 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) www.arcjournals.org On Orthogonal
More informationThe Intersection Problem for Steiner Triple Systems. Bradley Fain
The Intersection Problem for Steiner Triple Systems by Bradley Fain A thesis submitted to the Graduate Faculty of Auburn University in partial fulfillment of the requirements for the Degree of Master of
More informationMaximal Square Sum Subgraph of a Complete Graph
International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 2, Issue 1, January - 2014, PP 108-115 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) www.arcjournals.org Maximal
More informationNeighbor Sum Distinguishing Total Colorings of Triangle Free Planar Graphs
Acta Mathematica Sinica, English Series Feb., 2015, Vol. 31, No. 2, pp. 216 224 Published online: January 15, 2015 DOI: 10.1007/s10114-015-4114-y Http://www.ActaMath.com Acta Mathematica Sinica, English
More informationSquare Difference Labeling Of Some Path, Fan and Gear Graphs
Iteratoal Joural of Scetfc & Egeerg Research Volume 4, Issue3, March-03 ISSN 9-558 Square Dfferece Labelg Of Some Path, Fa ad Gear Graphs J.Shama Assstat Professor Departmet of Mathematcs CMS College of
More informationApproximate results for rainbow labelings
Periodica Mathematica Hungarica manuscript No. (will be inserted by the editor) Approximate results for rainbow labelings Anna Lladó Mirka Miller Received: date / Accepted: date Abstract A simple graph
More information