We consider two variations of the classical Ramsey number. In particular, we seek the number of vertices necessary to force the existence of an induced regular subgraph on a prescribed number of vertices.
Citation
Siemion Fajilowicz, Tamara McColgan, Talmage Reid, William Staton. Ramsey Numbers for Induced Regular Subgraphs[J], Ars Combinatoria, Volume 039. 149-154. .