The spanning connectivity of line graphs

Po Yi Huang, Lih Hsing Hsu

研究成果: Article同行評審

9 引文 斯高帕斯(Scopus)

摘要

A k-container of G between u and v, C(u,v), is a set of k internally disjoint paths between u and v. A k*-container C(u,v) of G is a k-container if it contains all vertices of G. A graph G is k *-connected if there exists a k*-container between any two distinct vertices. Thus, every 1*-connected graph is Hamiltonian connected. Moreover, every 2*-connected graph is Hamiltonian. Zhan proved that G=L(M) is Hamiltonian connected if the edge-connectivity of M is at least 4. In this paper, we generalize this result by proving G=L(M) is k*-connected if the edge-connectivity of M is at least max2k,4. We also generalize our result into spanning fan-connectivity.

原文English
頁(從 - 到)1614-1617
頁數4
期刊Applied Mathematics Letters
24
發行號9
DOIs
出版狀態Published - 2011 九月

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

指紋 深入研究「The spanning connectivity of line graphs」主題。共同形成了獨特的指紋。

引用此