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On the Bollobás–Eldridge Conjecture for Bipartite Graphs

Published online by Cambridge University Press:  01 September 2007

B. CSABA
B. CSABA*
Affiliation:
Analysis and Stochastics Research Group of the Hungarian Academy of Sciences, Hungary
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Abstract

Let G be a simple graph on n vertices. A conjecture of Bollobás and Eldridge [5] asserts that if then G contains any n vertex graph H with Δ(H) = k. We prove a strengthened version of this conjecture for bipartite, bounded degree H, for sufficiently large n. This is the first result on this conjecture for expander graphs of arbitrary (but bounded) degree. An important tool for the proof is a new version of the Blow-Up Lemma.

Type
Paper
Information
Combinatorics, Probability and Computing , Volume 16 , Issue 5 , September 2007 , pp. 661 - 691
Copyright
Copyright © Cambridge University Press 2007

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