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

Downloads

Published

2021-05-20

How to Cite

1.
حسن م, الحسن م, مصطفى م. Signed Domination Number of Graph. TUJ-BA [Internet]. 2021May20 [cited 2024Apr.19];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

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

The authors retain the copyright and grant the right to publish in the magazine for the first time with the transfer of the commercial right to the Tishreen University Journal -Basic Sciences Series  

 Under a CC BY- NC-SA 04 license that allows others to share the work with of the work's authorship and initial publication in this journal. Authors can use a copy of their articles in their scientific activity, and on their scientific websites, provided that the place of publication is indicted in Tishreen University Journal -Basic Sciences Series .  The Readers have the right to send, print and subscribe to the initial version of the article, and the title of Tishreen University Journal -Basic Sciences Series   Publisher

 

journal uses a CC BY-NC-SA license which mean

You are free to:

  • Adapt — remix, transform, and build upon the material
  •  
  • The licensor cannot revoke these freedoms as long as you follow the license terms.

 

  • Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • NonCommercial — You may not use the material for commercial purposes.
  • ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
  • No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.

Most read articles by the same author(s)