On multiplicity of quadrilaterals

Let Kn,n be the complete bipartite graph with n vertices in each partition. We denote M(C4,Kn,n) to be the minimum number of monochromatic copies of quadrilaterals in any 2-edge coloring of Kn,n. In this paper, we give an upper bound for M(C4,Kn,n) for all n using an explicit construction.

Bibliographic Details
Main Authors: S.S. Rukmani, V. Vijayalakshmi
Format: Article
Language:English
Published: Taylor & Francis Group 2015-11-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860015000456