None of the coronoid systems can be isometrically embedded into a hypercube

Discrete Applied Mathematics - Tập 156 - Trang 2817-2822 - 2008
Heping Zhang1, Shoujun Xu1
1School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China

Tài liệu tham khảo

Balaban, 1983, Topological indices for QSAR, Topics Curr. Chem., 144, 21, 10.1007/BFb0111212 Chepoi, 1996, L1-embeddability of rectilinear polygons with holes, J. Geom., 56, 15, 10.1007/BF01222679 Chepoi, 1996, On distances in benzenoid systems, J. Chem. Inf. Comput. Sci., 36, 1169, 10.1021/ci9600869 Chepoi, 1997, The Wiener index and the Szeged index of benzenoid systems in linear time, J. Chem. Inf. Comput. Sci., 37, 752, 10.1021/ci9700079 Cyvin, 1991, vol. 54 Deza, 2000, Embeddings of chemical graphs in hypercubes, Mat. Zametki, 68, 339 Djoković, 1973, Distance preserving subgraphs of hypercubes, J. Combin. Theory Ser. B, 14, 263, 10.1016/0095-8956(73)90010-5 Dobrynin, 2002, Wiener index of hexagonal systems, Acta Appl. Math., 72, 247, 10.1023/A:1016290123303 Gutman, 1989 Hosoya, 1971, Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons, Bull. Chem. Soc. Jpn., 44, 2332, 10.1246/bcsj.44.2332 Imrich, 2000 Klavžar, 1995, Labeling of benzenoid systems which reflects the vertex-distance relations, J. Chem. Inf. Comput. Sci., 35, 590, 10.1021/ci00025a030 Rouvray, 1983, Should we have designs on topological indices? Wiener, 1947, Structural determination of paraffin boiling points, J. Amer. Chem. Soc., 69, 17, 10.1021/ja01193a005