文献类型：期刊文献

英文题名：Spectral conditions for graphs having all (fractional) [a, b]-factors

作者：Zheng, Jiaxin[1];Wang, Junjie[1];Huang, Xueyi[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2024

卷号：347

期号：7

外文期刊名：DISCRETE MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:001226893200001)】；

基金：The authors would like to thank the anonymous referees for their remarks and corrections, which have enabled us to greatly improve the paper. X. Huang is supported by the National Natural Science Foundation of China (Grant No. 11901540) .

语种：英文

外文关键词：Spectral radius; [a, b]-Factor; Fractional[ab]-factor

摘要：Let a <= b be two positive integers. We say that a graph G has all [a,b]-factors if it has an h-factor for every function h:V(G)-> Z(+) such that a <= h (v) <= b for all v is an element of V(G) and & sum;v is an element of V(G) h(v) equivalent to 0 (mod 2), and has all fractional [a,b]-factors if it has a fractional p-factor for every p : V(G) -> Z(+) such that a <= p(v) <= b for all v is an element of V(G). In this paper, we provide tight spectral radius conditions for graphs having all [a,b]-factors (3 <= a