Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph

Juan L. G. Guirao, Sarfraz Ahmad, Muhammad Kamran Siddiqui and Muhammad Ibrahim
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Juan L. G. Guirao: Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Región de Murcia, Spain
Sarfraz Ahmad: Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Muhammad Kamran Siddiqui: Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
Muhammad Ibrahim: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, Pakistan

Mathematics, 2018, vol. 6, issue 12, 1-10

Abstract: A graph labeling is the task of integers, generally spoken to by whole numbers, to the edges or vertices, or both of a graph. Formally, given a graph G = ( V , E ) a vertex labeling is a capacity from V to an arrangement of integers. A graph with such a capacity characterized is known as a vertex-labeled graph. Similarly, an edge labeling is an element of E to an arrangement of labels. For this situation, the graph is called an edge-labeled graph. We examine an edge irregular reflexive k -labeling for the disjoint association of the cycle related graphs and decide the correct estimation of the reflexive edge strength for the disjoint association of s isomorphic duplicates of the cycle related graphs to be specific Generalized Peterson graphs.

Keywords: edge irregular reflexive labeling; reflexive edge strength; generalized peterson graphs (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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