"Colorings generated by monotone properties" by Béla Bollobás and Oliver Riordan
 

Colorings generated by monotone properties

Abstract

Given a graph G of order n containing no C4, color an edge e of the complement of G red if G + e contains a C4, and blue otherwise. Among other results, we answer a question of Erdo″s, de la Vina, and Fajtlowicz by showing that neither the red nor the blue graph obtained need contain a large complete subgraph. © 1998 John Wiley & Sons, Inc.

Publication Title

Random Structures and Algorithms

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