Graceful Labelling of Edge Amalgamation of Cycle Graph

Abstract

There are various topics in graph theory. The theory of labelling is one of the topics in graph theory. The theory of labelling was introduced firstly by Alex Rosa in 1967. Alex Rosa introduced the labelling of β which then by Golomb referred to as the graceful labelling. In addition, there is also a p labelling which is a modification of the graceful labelling. Graceful labelling itself has many variations such as even graceful labelling, odd graceful labelling, and odd-even graceful labelling. In 2009 Lu used to denote the graph made from copies of (cycle that has vertices) that share an edge. graph also known as book graph that has pages and vertices. In this paper, the researchers discussed about graceful labelling, P labelling, and odd-even graceful labelling of graph.