Small Ramsey numbers for books, wheels, and generalizations

B Lidický, G McKinley, F Pfender - arXiv preprint arXiv:2407.07285, 2024 - arxiv.org
This brief note gives several new upper and lower bounds on Ramsey numbers for books
and wheels, including tight lower bounds establishing the Ramsey numbers $ R (B_3, B_6) …

Generalized Ramsey numbers via conflict-free hypergraph matchings

A Lane, N Morrison - arXiv preprint arXiv:2405.16653, 2024 - arxiv.org
Given graphs $ G, H $ and an integer $ q\ge 2$, the generalized Ramsey number, denoted
$ r (G, H, q) $, is the minimum number of colours needed to edge-colour $ G $ such that …

Coloring problems in graph theory: k-packings and (p, q)-colorings

CM McRoberts - 2024 - search.proquest.com
Coloring problems in graph theory: k-packings and (p, q)-colorings by Christian Marquise
McRoberts A dissertation submitted to t Page 1 Coloring problems in graph theory: k-packings …