A survey of χ‐boundedness

Abstract

If a graph has bounded clique number and sufficiently large chromatic number, what can we say about its induced subgraphs? András Gyárfás made a number of challenging conjectures about this in the early 1980s, which have remained open until recently; but in the last few years there has been substantial progress. This is a survey of where we are now.

Document Details

Document Type
Pub Defense Publication
Publication Date
Aug 24, 2020
Source ID
10.1002/jgt.22601

Entities

People

  • Alexander David Scott
  • Paul Seymour

Organizations

  • Air Force Office of Scientific Research
  • National Science Foundation
  • Office of Naval Research
  • Princeton University
  • University of Oxford

Tags

Readers

  • Graph Algorithms and Convex Optimization.
  • Naval Personnel Management