Colorings generated by monotone properties

Authors

Béla Bollobás, Faculty of MathematicsFollow
Oliver Riordan, Faculty of Mathematics

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

Recommended Citation

Bollobás, B., & Riordan, O. (1998). Colorings generated by monotone properties. Random Structures and Algorithms, 12 (1), 1-25. https://doi.org/10.1002/(SICI)1098-2418(199801)12:1<1::AID-RSA1>3.0.CO;2-2