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题名: Forcing and Anti-Forcing Numbers of (3,6)-Fullerenes
作者: Shi, LJ; Zhang, HP
收录类别: SCIE
出版日期: 2016
刊名: MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
卷号: 76, 期号:1-3, 页码:597-614
出版者: UNIV KRAGUJEVAC
出版地: KRAGUJEVAC
英文摘要: Let G be a connected graph with at least one perfect matching. The forcing number of G is the smallest number of edges simultaneously contained in a unique perfect matching of G, denoted by f(G). The anti-forcing number of G is the smallest number of edges whose removal from G results in a subgraph with a unique perfect matching, denoted by of (G). In this paper, we obtain that for a (3, 6)-fullerene graph G, f (G) >= 1 and af(G) >= 2, and any equality holds if and only if it either has connectivity 2 or is isomorphic to K-4. Further we mainly determine all the (3, 6)-fullerenes with the anti-forcing number 3.
作者部门: [Shi, Lingjuan ; Zhang, Heping] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
通讯作者: Zhang, HP (reprint author), Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China.
学科分类: Chemistry; Computer Science; Mathematics
文章类型: Article
所属项目编号: NSFC [11371180] ; Fundamental Research Funds for the Central Universities [lzujbky-2015-211]
所属项目名称: 国家自然科学基金项目 ; 中央高校基本科研业务费专项资金
项目资助者: NSFC ; LZU
语种: 英语
ISSN号: 0340-6253
WOS记录号: WOS:000389557700003
IR记录号: WOS:000389557700003
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内容类型: 期刊论文
URI标识: http://ir.lzu.edu.cn/handle/262010/189074
Appears in Collections:数学与统计学院_期刊论文

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Recommended Citation:
Shi, LJ,Zhang, HP. Forcing and Anti-Forcing Numbers of (3,6)-Fullerenes[J]. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2016,76(1-3):597-614.
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