On a Conjecture about the Saturation Number of Corona Product of Graphs

oleh: Mostafa Tavakoli

Format: Article
Diterbitkan: Hindawi Limited 2022-01-01

Deskripsi

Let G=VG,EG be a simple and connected graph. A set M⊆EG is called a matching if no two edges of M have a common endpoint. A matching M is maximal if it cannot be extended to a larger matching in G. The smallest size of a maximal matching is called the saturation number of G. In this paper, we confirm a conjecture of Alikhani and Soltani about the saturation number of corona product of graphs. We also present the exact value of sG∘H where H is a randomly matchable graph.