Article ID Journal Published Year Pages File Type
4653369 European Journal of Combinatorics 2015 7 Pages PDF
Abstract

We prove that every graph with maximum degree ΔΔ admits a partition of its edges into O(Δ) parts (as Δ→∞Δ→∞) none of which contains C4C4 as a subgraph. This bound is sharp up to a constant factor. Our proof uses an iterated random colouring procedure.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,