Polynomial bounds for chromatic number VIII. Excluding a path and a complete multipartite graph

Autor:	Nguyen, Tung, Scott, Alex, Seymour, Paul
Rok vydání:	2023
Předmět:	Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We prove that for every path H, and every integer d, there is a polynomial f such that every graph G with chromatic number greater than f(t) either contains H as an induced subgraph, or contains as a subgraph the complete d-partite graph with parts of cardinality t. For t = 1 and general d this is a classical theorem of Gy\'arf\'as, and for d = 2 and general t this is a theorem of Bonamy et al.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.11766 Zobrazit plný text záznamu View this record from Arxiv