List Ramsey numbers

Noga Alon, Matija Bucić, Tom Kalvari, Eden Kuperwasser, Tibor Szabó

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce a list-coloring extension of classical Ramsey numbers. We investigate when the two Ramsey numbers are equal, and in general, how far apart they can be from each other. We find graph sequences where the two are equal and where they are far apart. For (Formula presented.) -uniform cliques we prove that the list Ramsey number is bounded by an exponential function, while it is well known that the Ramsey number is superexponential for uniformity at least 3. This is in great contrast to the graph case where we cannot even decide the question of equality for cliques.

Original languageEnglish (US)
JournalJournal of Graph Theory
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Ramsey theory
  • chromatic number
  • list coloring

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