Biclique immersions in graphs with independence number 2

被引：0

作者：

Botler, F. ^{[1
]}

Jimenez, A. ^{[2
,3
]}

Lintzmayer, C. N. ^{[4
]}

Pastine, A. ^{[5
,6
]}

Quiroz, D. A. ^{[2
,3
]}

Sambinelli, M. ^{[4
]}

机构：

[1] Univ Sao Paulo, Dept Ciencia Computacao, Inst Matemat & Estat, Sao Paulo, Brazil

[2] Univ Valparaiso, Inst Ingn Matemat, Valparaiso, Chile

[3] Univ Valparaiso, CIMFAV, Valparaiso, Chile

[4] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, Santo Andre, Brazil

[5] Consejo Nacl Invest Cient & Tecn, Inst Matemat Aplicada San Luis, San Luis, Argentina

[6] Univ Nacl San Luis, San Luis, Argentina

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2024年 / 122卷

基金：

巴西圣保罗研究基金会;

关键词：

THEOREM; MINORS;

D O I：

10.1016/j.ejc.2024.104042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The analogue of Hadwiger's conjecture for the immersion relation states that every graph G contains an immersion of K-chi(G). For graphs with independence number 2, this is equivalent to stating that every such n-vertex graph contains an immersion of K-(sic)n/2(sic). We show that every n-vertex graph with independence number 2 contains every complete bipartite graph on (sic)n/2(sic) vertices as an immersion. (c) 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：16

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