A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number-Reference-Cited by-同舟云学术

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A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number

Published:2023-01 Issue: Volume:158 Page:63-69
ISSN:0095-8956
Container-title:Journal of Combinatorial Theory, Series B
language:en
Short-container-title:Journal of Combinatorial Theory, Series B

Author:

Carbonero Alvaro,Hompe Patrick^ORCID,Moore Benjamin^ORCID,Spirkl Sophie^ORCID

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference12 articles.

1. Chordal directed graphs are not χ-bounded;Aboulker;Electron. J. Comb.,2022

2. Problems and results in number theory and graph theory;Erdős,1979

3. Problems from the world surrounding perfect graphs;Gyárfás;Appl. Math.,1987

4. Colorful induced subgraphs;Kierstead;Discrete Math.,1992

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1. Induced Subgraphs of Induced Subgraphs of Large Chromatic Number;Combinatorica;2023-09-25

2. Proving a Directed Analogue of the Gyárfás-Sumner Conjecture for Orientations of $P_4$;The Electronic Journal of Combinatorics;2023-09-22

3. Polynomial χ-binding functions for t-broom-free graphs;Journal of Combinatorial Theory, Series B;2023-09

4. Separating Polynomial $$\chi $$-Boundedness from $$\chi $$-Boundedness;Combinatorica;2023-08-09

5. Proving a directed analogue of the Gyárfás-Sumner conjecture for orientations of P4;Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications;2023

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