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Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph

Author

Listed:
  • 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)

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.

Suggested Citation

  • Juan L. G. Guirao & Sarfraz Ahmad & Muhammad Kamran Siddiqui & Muhammad Ibrahim, 2018. "Edge Irregular Reflexive Labeling for Disjoint Union of Generalized Petersen Graph," Mathematics, MDPI, vol. 6(12), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:12:p:304-:d:188105
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