[a, b]-Factors With Given Edges In Graphs

被引:0
|
作者
Zhou, Sizhong [1 ]
机构
[1] Jiangsu Univ Sci & Technol, Sch Math & Phys, Zhenjiang 212003, Jiangsu, Peoples R China
关键词
graph; subgraph; minimum degree; a; b]-factor; INDEPENDENT SETS; NEIGHBORHOODS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let G be a graph, and let a and b be integers with 1 <= a <= b. An [a, b]-factor of G is defined as a spanning subgraph F of G such that a <= d(F)(x) <= b for each x epsilon V(C). In this paper, we obtain a sufficient condition for a graph to have [a, b]-factors including given edges that extends a well-known sufficient condition for the existence of a k-factor.
引用
收藏
页码:267 / 272
页数:6
相关论文
共 50 条
  • [1] [a, b]-factors excluding some specified edges in graphs
    Zhou, Sizhong
    Pu, Bingyuan
    World Academy of Science, Engineering and Technology, 2009, 35 : 1052 - 1054
  • [2] [a, b]-Factors excluding some specified edges in graphs
    Zhou, Sizhong
    Pu, Bingyuan
    International Journal of Computational and Mathematical Sciences, 2009, 3 (02): : 80 - 82
  • [3] GRAPHS ON UNLABELLED NODES WITH A GIVEN NUMBER OF EDGES
    WRIGHT, EM
    ACTA MATHEMATICA UPPSALA, 1971, 126 (1-2): : 1 - &
  • [5] ON THE ESTRADA INDEX OF GRAPHS WITH GIVEN NUMBER OF CUT EDGES
    Du, Zhibin
    Zhou, Bo
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 586 - 592
  • [6] On the number of edges in graphs with a given connected domination number
    Sanchis, LA
    DISCRETE MATHEMATICS, 2000, 214 (1-3) : 193 - 210
  • [7] The number of subtrees in graphs with given number of cut edges
    Xu, Kexiang
    Li, Jie
    Wang, Hua
    DISCRETE APPLIED MATHEMATICS, 2021, 304 : 283 - 296
  • [8] Primitive graphs with given exponents and minimum number of edges
    Kim, Byeong Moon
    Song, Byung Chul
    Hwang, Woonjae
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 420 (2-3) : 648 - 662
  • [9] On extremal bipartite graphs with given number of cut edges
    Chen, Hanlin
    Wu, Renfang
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2020, 12 (02)