Please use this identifier to cite or link to this item: http://111.93.204.14:8080/xmlui/handle/123456789/1156
Title: Computation of inverse 1-centre location problem on the weighted interval graphs
Authors: Jana, Biswanath
Mondal, Sukumar
Pal, Madhumangal
Keywords: Tree-networks
Centre location
1-centre location
Inverse 1-centre location
Inverse optimisation
Interval graphs
Issue Date: 2017
Publisher: International Journal of Computing Science and Mathematics
Abstract: Let TIG be the tree corresponding to the weighted interval graph G = (V, E). In an inverse 1-centre location problem the parameter of an interval tree TIG corresponding to the weighted interval graph G = (V, E), like vertex weights have to be modified at minimum total cost such that a pre-specified vertex s ∈ V becomes the 1-centre of the interval graph G. In this paper, we present an O(n) time algorithm to find an inverse 1-centre location problem on the weighted tree TIG corresponding to the weighted interval graph, where the vertex weights can be changed within certain bounds and n is the number of vertices of the graph G.
URI: http://111.93.204.14:8080/xmlui/handle/123456789/1156
ISSN: 1752-5055
1752-5063
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