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| On the Clique-Transversal Number in （Claw,K4）-Free 4-Regular Graphs | |
| 引用本文： | Ding Guo WANG,Er Fang SHAN,Zuo Song LIANG. On the Clique-Transversal Number in （Claw,K4）-Free 4-Regular Graphs[J]. 数学学报(英文版), 2014, 30(3): 505-516. DOI: 10.1007/s10114-013-2083-6 |
| 作者姓名： | Ding Guo WANG Er Fang SHAN Zuo Song LIANG |
| 作者单位： | [1]Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China [2]College of Mathematics Science, Chongqing Normal University, Chongqing 400047, P. R. China [3]School of Management, Shanghai University, Shanghai 200444, P. R. China |
| 基金项目： | Supported by National Nature Science Foundation of China(Grant Nos.11171207 and 10971131) |
| 摘 要： | A clique-transversal set D of a graph G is a set of vertices of G such that D meets all cliques of G.The clique-transversal number,denoted by τC(G),is the minimum cardinality of a clique-transversal set in G.In this paper,we first present a lower bound on τC(G) and characterize the extremal graphs achieving the lower bound for a connected(claw,K4)-free 4-regular graph G.Furthermore,we show that for any 2-connected(claw,K4)-free 4-regular graph G of order n,its clique-transversal number equals to [n/3]. |
| 关 键 词： | 正则图 免费 下界 连接 顶点 集合 基数 极图 |
On the clique-transversal number in (claw,K 4)-free 4-regular graphs |
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| Ding Guo Wang,Er Fang Shan,Zuo Song Liang. On the clique-transversal number in (claw,K 4)-free 4-regular graphs[J]. Acta Mathematica Sinica(English Series), 2014, 30(3): 505-516. DOI: 10.1007/s10114-013-2083-6 | |
| Authors: | Ding Guo Wang Er Fang Shan Zuo Song Liang |
| Affiliation: | 1. Department of Mathematics, Shanghai University, Shanghai, 200444, P. R. China 2. College of Mathematics Science, Chongqing Normal University, Chongqing, 400047, P. R. China 3. School of Management, Shanghai University, Shanghai, 200444, P. R. China |
| Abstract: | Graph, clique-transversal set, clique, 4-regular graph, claw-free graph |
| Keywords: | Graph clique-transversal set clique -regular graph claw-free graph |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ | |