Edge Degree Weight of Sequential Join of Graphs

Main Article Content

Khidir R. Sharaf
Didar A. Ali

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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Article Details

Section

Science Journal of University of Zakho

Author Biographies

Khidir R. Sharaf, University of Zakho

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

Didar A. Ali, University of Zakho

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

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://www.stest.uoz.edu.krd/index.php/sjuoz/article/view/431

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