Rainbow Connection Number on Amalgamation of Tadpole Graphs and Amalgamation of Sun Graphs

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Ainin Yusri Saputri, Toto Nusantara, Desi Rahmadani

2022 AIP Conference Proceedings Vol. 2639 Conference paper Cited by 1 Quartile

Abstract

In graph theory, graph coloring is a special case of graph labeling. One of graph coloring is rainbow connection. A path in the graph is called a rainbow path if none of the edges are the same color. A graph is said to be rainbow connection if it contains a rainbow path for each pair of vertices. The smallest number that represents the number of rainbow colors on the edges is called a rainbow connection number. In this article, we determine rainbow connection number of amalgamation of tadpole graphs and amalgamation of sun graphs. © 2022 American Institute of Physics Inc.. All rights reserved.

Affiliations

Department of Mathematics, Universitas Negeri Malang, Jalan Semarang No. 5 Malang, East Java, 65145, Indonesia