Disjoint Kr-minors in large graphs with given average degree

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Disjoint Kr-minors in large graphs with given average degree

It is proved that there are functions f (r) and N(r, s) such that for every positive integer r , s, each graph G with average degree d(G) = 2|E(G)|/|V (G)| ≥ f (r), and with at least N(r, s) vertices has a minor isomorphic to Kr,s or to the union of s disjoint copies of Kr . © 2005 Published by Elsevier Ltd

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ژورنال

عنوان ژورنال: European Journal of Combinatorics

سال: 2005

ISSN: 0195-6698

DOI: 10.1016/j.ejc.2003.12.017