Parallel critical graphs

Autor: Karthika, Kumarasamy
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: Let G1 and G2 be two undirected graphs. Let u1, v1 ∈ V ( G1 ) and u2, v2 ∈ V ( G2 ). A parallel composition forms a new graph H that combines G1 and G2 by contracting the vertices u1 with u2 and v1 with v2. A new kind of graph called a parallel critical graph is introduced in this paper. We present the critical property using the domination number of G1 and G2 and provide a necessary and sufficient condition for parallel critical graphs. Few results relating to some class of graphs and parallel composition are discussed in this paper. Publisher's Version
Databáze: OpenAIRE