一类Fullerene图的1-共振性  

1-resonance of a class of Fullerene graphs

作　　者：祁忠斌[1] 张和平[1] 

机构地区：[1]兰州大学数学与统计学院

出　　处：《山东大学学报（理学版）》2008年第4期67-72,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(10471058)

摘　　要：用R(0)表示一个含有1个六边形内面和6个五边形内面的平面图,其中这6个五边形内面同时和该六边形内面相邻,且这6个五边形内面构成一个环链。给出了含有R(0)作为子图的Fullerene图的构造和分类;进一步证明了含有R(0)作为子图的Fullerene图是1-共振图。A plane graph with 1 hexagonal inner face and 6 pentagonal inner faces was denoted by R （0）, where these pentagonal faces can form a ring chain, and are adjacent to the hexagonal face. The construction and a classification of the Fullerene graphs containing R（0） were given. Further, it was proved that every Fullerene graph with R（0） as its sub-graph is 1-resonant.

关 键 词：化学图论 Fullerene图 闭环链 共振圈(环) 2-可扩性 1-共振图 

分 类 号：O157.6[理学—数学]