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All Journal Electronic Journal of Graph Theory and Applications (EJGTA)
Mark Rowland Budden
Western Carolina University
Electrical & Electronics Engineering

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Multicolor star-critical Ramsey numbers and Ramsey-good graphs Mark Rowland Budden; Elijah DeJonge
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 10, No 1 (2022): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2022.10.1.4

Abstract

This paper seeks to develop the multicolor version of star-critical Ramsey numbers, which serve as a measure of the strength of the corresponding Ramsey numbers.  We offer several general theorems, some of which focus on Ramsey-good cases (i.e., cases in which the corresponding Ramsey number is equal to a general lower bound).  We also prove some specific cases for small graphs, and conclude with a table of known multicolor star-critical Ramsey numbers.
Co-Authors Elijah DeJonge