Graph partitions under average degree constraint

被引：0
|
作者：
Wang, Yan [1 ]
Wu, Hehui [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Shanghai Frontier Sci Ctr Modern Anal CMA Shanghai, Sch Math Sci, Shanghai 200240, Peoples R China
[2] Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200438, Peoples R China
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 2024年 / 165卷
基金：
中国国家自然科学基金;
关键词：
Vertex partition; Average degree; Balanced partition; DEFECTIVE COLORINGS; DECOMPOSING GRAPHS; SPARSE GRAPHS; GIRTH; 2-COLORINGS;
D O I：
10.1016/j.jctb.2023.11.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove that every graph with average degree at least s + t + 2 has a vertex partition into two parts, such that one part has average degree at least s, and the other part has average degree at least t. This solves a conjecture of Csoka, Lo, Norin, Wu and Yepremyan. (c) 2023 Elsevier Inc. All rights reserved.
引用
收藏
页码：197 / 210
页数：14
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