Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Graphs with large chromatic number induce 3k-cycles

Abstract : Answering a question of Kalai and Meshulam, we prove that graphs without induced cycles of length 3k have bounded chromatic number. This implies the very first case of a much broader question asserting that every graph with large chromatic number induces a graph H such that the sum of the Betti numbers of the independence complex of H is also large.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01431393
Contributor : Marthe Bonamy <>
Submitted on : Tuesday, January 10, 2017 - 5:23:10 PM
Last modification on : Saturday, September 11, 2021 - 3:18:32 AM

Links full text

Identifiers

  • HAL Id : hal-01431393, version 1
  • ARXIV : 1408.2172

Citation

Marthe Bonamy, Stéphan Thomassé, Pierre Charbit. Graphs with large chromatic number induce 3k-cycles. 2017. ⟨hal-01431393⟩

Share

Metrics

Record views

385