On bicriticality of (3,6)-fullerene graphs | |
Sun, Chunhu1,2; Zhang, Heping1 | |
刊名 | JOURNAL OF MATHEMATICAL CHEMISTRY
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2018-10 | |
卷号 | 56期号:9页码:2785-2793 |
关键词 | (3 6)-Fullerene Perfect matching Bicritical graph Resonant hexagon |
ISSN号 | 0259-9791 |
DOI | 10.1007/s10910-018-0917-2 |
英文摘要 | A (3,6)-fullerene is a plane cubic graph whose faces are only triangles and hexagons. A connected graph G with at least 2n+ 2 vertices is said to be n-extendable if it has n independent edges and every set of n independent edges extends to a perfect matching of G. A graph G is said to be bicritical if for every pair of distinct vertices u and v, G -u -v has a perfect matching. It is known that every (3,6)-fullerene is 1-extendable, but not 2-extendable. In this short paper, we show that a (3,6)-fullerene G is bicritical if and only if G has the connectivity 3 and is not isomorphic to one graph (2,4,2). As a surprising consequence we have that a (3,6)-fullerene is bicritical if and only if each hexagonal face is resonant. |
WOS研究方向 | Chemistry ; Mathematics |
语种 | 英语 |
出版者 | SPRINGER |
WOS记录号 | WOS:000443702300012 |
状态 | 已发表 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.223/handle/2XXMBERH/32425] ![]() |
专题 | 理学院 |
通讯作者 | Zhang, Heping |
作者单位 | 1.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China 2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China |
推荐引用方式 GB/T 7714 | Sun, Chunhu,Zhang, Heping. On bicriticality of (3,6)-fullerene graphs[J]. JOURNAL OF MATHEMATICAL CHEMISTRY,2018,56(9):2785-2793. |
APA | Sun, Chunhu,&Zhang, Heping.(2018).On bicriticality of (3,6)-fullerene graphs.JOURNAL OF MATHEMATICAL CHEMISTRY,56(9),2785-2793. |
MLA | Sun, Chunhu,et al."On bicriticality of (3,6)-fullerene graphs".JOURNAL OF MATHEMATICAL CHEMISTRY 56.9(2018):2785-2793. |
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