On the saturation number of graphs
Combinatorics
2017-12-12 v1
Abstract
Let be a simple connected graph. A matching in a graph is a collection of edges of such that no two edges from share a vertex. A matching is maximal if it cannot be extended to a larger matching in . The cardinality of any smallest maximal matching in is the saturation number of and is denoted by . In this paper we study the saturation number of the corona product of two specific graphs. We also consider some graphs with certain constructions that are of importance in chemistry and study their saturation number.
Keywords
Cite
@article{arxiv.1712.03422,
title = {On the saturation number of graphs},
author = {Saeid Alikhani and Neda Soltani},
journal= {arXiv preprint arXiv:1712.03422},
year = {2017}
}
Comments
12 pages, 7 figures