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Mynhardt, C. M.
and
Roux, A.
2021.
Structures of Domination in Graphs.
Vol. 66,
Issue. ,
p.
135.
Published online by Cambridge University Press: 03 December 2003
Given a graph Hwith no isolates, the (generalized) mixed Ramsey number is the smallest integer r such that every H-free graph of order r contains an m-element irredundant set. We consider some questions concerning the asymptotic behaviour of this number (i) with H fixed and , (ii) with m fixed and a sequence of dense graphs, in particular for the sequence . Open problems are mentioned throughout the paper.