Article ID Journal Published Year Pages File Type
4652011 Electronic Notes in Discrete Mathematics 2013 7 Pages PDF
Abstract

Let Gk,n be the family of all graphs on the same n vertices each having at least k connected components. We are interested in the largest cardinality of a subfamily in which the union of any two of the member graphs has at most k−2 connected components, and determine its exponential asymptotics.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics