文献类型：期刊文献

英文题名：Toughness and [a, b]-factors with prescribed properties

作者：Chang, Renying[1];Zhu, Yan[2]

机构：[1]Linyi Univ, Sch Sci, Linyi 276005, Shandong, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2017

卷号：132

起止页码：69

外文期刊名：ARS COMBINATORIA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000398333500006)】；

基金：This work is supported by AMEP of Linyi University. This research was supported by the Fundamental Research Funds for the Central Universities, SRFDP(20130074120021) and SRF for ROCS, SEM.

语种：英文

外文关键词：[a, b]-factor; toughness; inclusion/exclusion properties

摘要：In this paper, we consider the relationship between toughness and the existence of [a, b] -factors with inclusion/exclusion properties. We obtain that if t(G) >= a - 1 + a-1/b with b > a > 2 where a, b are two integers, then for any two given edges el and e2, there exist an [a, b] -factor including e1, e2; and an [a, b] -factor including el and excluding e2; as well as an [a, b] -factor excluding el, e2. Furthermore, it is shown that the results are best possible in some sense.