Edge Degree Weight of Sequential Join of Graphs

Khidir R. Sharaf(1) , Didar A. Ali(2)
(1) University of Zakho ,
(2) University of Zakho

Abstract




Let the weight w of an edge e= uv={u,v} of a graph G be defined by w(e)=deg(u)+deg(v)-2 and the weight of G be defined by w(G)= ∑ e ∈ E(G)w(e), where E(G) is the edge set of G. In this paper the weights of joins, sequential joins, unions, intersections, and products (Cartesian and Tensor) of sets of graphs are obtained. This leads to a variety of open questions and new studies.




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Authors

Khidir R. Sharaf
juoz@uoz.edu.krd (Primary Contact)
Didar A. Ali
Author Biographies

Khidir R. Sharaf

Dept. of Mathematics, Faculty of Science University of Zakho, Kurdistan Region-Iraq.

Didar A. Ali

Dept. of Mathematics, Faculty of Science University of Zakho, Kurdistan Region-Iraq.

Sharaf, K. R., & Ali, D. A. (2013). Edge Degree Weight of Sequential Join of Graphs. Science Journal of University of Zakho, 1(2), 854-861. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/431

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How to Cite

Sharaf, K. R., & Ali, D. A. (2013). Edge Degree Weight of Sequential Join of Graphs. Science Journal of University of Zakho, 1(2), 854-861. https://sjuoz.uoz.edu.krd/index.php/sjuoz/article/view/431

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