English

On the saturation number of graphs

Combinatorics 2017-12-12 v1

Abstract

Let G=(V,E)G=(V,E) be a simple connected graph. A matching MM in a graph GG is a collection of edges of GG such that no two edges from MM share a vertex. A matching MM is maximal if it cannot be extended to a larger matching in GG. The cardinality of any smallest maximal matching in GG is the saturation number of GG and is denoted by s(G)s(G). 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

R2 v1 2026-06-22T23:13:13.872Z