Article ID Journal Published Year Pages File Type
4652067 Electronic Notes in Discrete Mathematics 2013 6 Pages PDF
Abstract

We state a sparse approximate version of the blow-up lemma, showing that regular partitions in sufficiently pseudorandom graphs behave almost like complete partite graphs for embedding graphs with maximum degree Δ. We show that (p,γ)-jumbled graphs, with γ=o(pmax(2Δ,Δ+3/2)n), are “sufficiently pseudorandom”.The approach extends to random graphs Gn,p with .

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics