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1 Page 1 of 5 Register or Login: username Password: Help Scopus Labs Quick Search Search Tips Croatica Chemica Acta Volume 76, Issue 2, June 2003, Pages of 32 Document Type: Conference Paper Leapfrog and Related Operations on Toroidal Fullerenes Diudea, M.V. a References (58), John, P.E. b, Graovac, A. c d, Primorac, M. e, Pisanski, T. f a Fac. of Chem. and Chem. Engineering, Babes-Bolyai University, 3400 Cluj, Romania b Technical University Ilmenau, Institute of Mathematics, PSF , D Ilmenau, Germany c Rudjer Bošković Inst., P. O. Box 180, HR-10002, Zagreb, Croatia d Fac. of Nat. Sci., Math. and Educ., University of Split, Nikole Tesle 12, HR-21000, Split, Croatia e Faculty of Forestry, University of Zagreb, Svetošimunska 25, HR Zagreb, Croatia f IMFM, Dept. of Theor. Computer Science, University of Ljubljana, SI-1000 Ljubljana, Slovenia Abstract A 4-valent square tiled toroid is transformed into 3-valent hexagonal (and other polygonal) lattices either by simple cutting procedures or by some more elaborated operations such as leap-frog and related transformations. Tiling or embedding isomers can be interchanged by means of such operations on toroidal maps, for which rigorous definitions and some theorems are given. Parents and products of most important operations are illustrated. Author Keywords 3-valent hexagonal tilings; 4-valent square tilings; Carbon allotropes; Leapfrog transformation; Toroids Select: 1. gfedc Kroto, H. (1994) Fuller. Sci. Technol., 2 pp Cited 12 times gfedc All View references (58) Cited By This article has been cited 8 times in Scopus: (Showing the 3 most recent) Mandal, B. Some important formulae using the concept of graphical tree (2006) Chemical Physics Letters Mandal, B. Use of symmetry plane and subsequent subtraction for obtaining eigenspectra of some complicated graphs in analytical forms (2005) Journal of Molecular Structure: THEOCHEM Kutnar, K., Malnič, A. Chirality of toroidal molecular graphs (2005) Journal of Chemical Information and Modeling View details of all 8 citations 2. gfedc Diedrich, F., Thilgen, C. (1996) Science, 271 pp Cited 349 times Alert me when this document is cited in Scopus 3. gfedc Neretin, S., Lyssenko, K.A., Antipin, M.Yu., Slovokhotov, Yu.L., Boltalina, O.V., Troshin, P.A., Lukonin, A.Yu., (...), Taylor, R. (2000) Angew. Chem., Int. Ed. Engl., 39 pp Cited 77 times Related Documents (by reference) 4. gfedc Rubin, W., Qian, Y.A. (2000) Angew. Chem., Int. Ed. Engl., 39 pp Cited 22 times 5. gfedc Lee, K., Lee, Ch.H., Song, H., Park, J.T., Chang, H.Y., Choi, M.-G. (2000) Angew. Chem., Int. Ed. Engl., 39 pp Cited 24 times 6. gfedc Fässler, T.F., Hoffmann, R., Hoffmann, S., Wörle, M. (2000) Angew. Chem., Int. Ed. Engl., 39 pp Cited 13 times
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