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Open AccessArticle

Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph

1
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Hospital de Marina, 30203 Cartagena, Región de Murcia, Spain
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Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
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Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
4
Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, Multan 60800, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(12), 304; https://doi.org/10.3390/math6120304
Received: 24 October 2018 / Revised: 24 November 2018 / Accepted: 3 December 2018 / Published: 5 December 2018
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. View Full-Text
Keywords: edge irregular reflexive labeling; reflexive edge strength; generalized peterson graphs edge irregular reflexive labeling; reflexive edge strength; generalized peterson graphs
MDPI and ACS Style

Guirao, J.L.G.; Ahmad, S.; Siddiqui, M.K.; Ibrahim, M. Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph. Mathematics 2018, 6, 304.

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