• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology

Article

Indian Journal of Science and Technology

Year: 2016, Volume: 9, Issue: 6, Pages: 1-5

Original Article

Weighted Peripheral Graph

Abstract

Weighted peripheral graph Gd of a graph G has the peripheral vertices of G as its vertices and the diametral paths between the peripheral vertices of G as its edges. The structural properties of this weighted graph for some classes of graphs are discussed and bounds of certain parameters are identified. For the C# program developed to determine the parameters involved in the study, corresponding output for a sample graph is also presented. Remote nodes, high priority routes between them and strategic location problems of real life networks are some areas where these results can be applied.

Keywords: Central Vertex, Diameter, Diametral Path, Peripheral Vertex, Radius, Weighted Graph, Weighted Peripheral Graph

 

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