On Vertex-Disjoint Chorded Cycles and Degree Sum Conditions

被引：0
|
作者：
Gould, Ronald J. [1 ]
Hirohata, Kazuhide [2 ]
Rorabaugh, Ariel Keller [3 ]
机构：
[1] Department of Mathematics, Emory University, Atlanta,GA,30322, United States
[2] Department of Industrial Engineering, Computer Science, National Institute of Technology, Ibaraki College, Ibaraki, Hitachinaka,312-8508, Japan
[3] Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville,TN,37996, United States
来源：
Journal of Combinatorial Mathematics and Combinatorial Computing | 2024年 / 120卷
关键词：
In this paper; we consider a degree sum condition sufficient to imply the existence of k vertex-disjoint chorded cycles in a graph G. Let σ4(G) be the minimum degree sum of four independent vertices of G. We prove that if G is a graph of order at least 11k + 7 and σ4(G) ≥ 12k − 3 with k ≥ 1; then G contains k vertex-disjoint chorded cycles. We also show that the degree sum condition on σ4(G) is sharp. © 2024 the Author(s); licensee Combinatorial Press;
D O I：
10.61091/jcmcc120-07
中图分类号：
学科分类号：
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页码：75 / 90
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