Article ID Journal Published Year Pages File Type
4653257 European Journal of Combinatorics 2016 21 Pages PDF
Abstract

Given a class of graphs GG closed under taking minors, we study the maximum degree ΔnΔn of random graphs from GG with nn vertices. We prove several lower and upper bounds that hold with high probability. Among other results, we find classes of graphs providing orders of magnitude for ΔnΔn not observed before, such us logn/logloglognlogn/logloglogn and logn/loglogloglognlogn/loglogloglogn.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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