Signed Domination Number of Graph

Authors

  • Mohammad Hassan Tishreen University
  • Muhsin Al Hassan Tishreen University
  • Mazen Mostafa Tishreen University

Abstract

Let G(V, E) be a finite connected simple graph. A function  ¦ : V(G) ® {-1,1} is a signed dominating function if for every vertex vÎV(G), the closed neighborhood of  v contains more vertices with function values 1 than with -1. The signed domination number gs(G) of G is the minimum weight of a signed dominating function on G. In this paper, we calculate the signed domination numbers of the Cartesian product of two paths P­m and Pn for m= 8 and arbitrary n.

Author Biographies

Mohammad Hassan, Tishreen University

Professor ,Mathematics Department, Faculty of Science,

Muhsin Al Hassan, Tishreen University

Assistant Professor, Mathematics Department, Faculty of Science

Mazen Mostafa, Tishreen University

Postgraduate Student ,Department of  Mathematics, Faculty of Science

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Published

2021-05-20

How to Cite

1.
حسن م, الحسن م, مصطفى م. Signed Domination Number of Graph. TUJ-BA [Internet]. 2021May20 [cited 2024Dec.29];43(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/10586

Issue

Vol. 43 No. 2 (2021): Tishreen University Journal for Research and Scientific Studies - Basic Sciences Series

Section

Articles

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