Complete immersions in graphs with independence number two and small forbidden subgraphs

被引：0

作者：

Quiroz, Daniel A. ^{[1
]}

机构：

[1] Univ Valparaiso, Inst Ingn Matemat CIMFAV, Valparaiso, Chile

来源：

PROCEEDINGS OF THE XI LATIN AND AMERICAN ALGORITHMS, GRAPHS AND OPTIMIZATION SYMPOSIUM | 2021年 / 195卷

基金：

巴西圣保罗研究基金会;

关键词：

Graph immersion; independence number; chromatic number; induced subgraph; Hadwiger's conjecture;

D O I：

10.1016/j.procs.2021.11.042

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The analogue of Hadwiger's conjecture for the immersion order states that every graph G contains the complete graph K-chi(G) as an immersion. Like its minor-order counterpart it is open even for graphs with independence number 2. Let G and H be graphs with independence number at most 2, such that vertical bar V(H)vertical bar <= 4. We show that if G is H-free, then G satisfies the conjecture. (C) 2021 The Authors. Published by Elsevier B.V.

引用

页码：343 / 349

页数：7

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