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On a Conjecture about the Saturation Number of Corona Product of Graphs
oleh: Mostafa Tavakoli
Format: | Article |
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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.