Unweighted p-center problem on extended stars
Subject Areas : Mathematical Engineering
جعفر
فتحعلی
1
(Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran)
نادر
جعفری راد
2
(Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran)
صادق
رحیمی شعرباف
3
(Department of Mathematics, Shahrood University of Technology, University Blvd., Shahrood, Iran)
Keywords: Location theory, center problem, extended star,
Abstract :
An extended star is a tree which has only one vertex with degree larger than two. The -center problem in a graph asks to find a subset of the vertices of of cardinality such that the maximum weighted distances from to all vertices is minimized. In this paper we consider the -center problem on the unweighted extended stars, and present some properties to find solution.
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