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A PTAS for the metric case of the minimum sum-requirement communication spanning tree problem

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Author(s):
Ravelo, S. V. ; Ferreira, C. E.
Total Authors: 2
Document type: Journal article
Source: DISCRETE APPLIED MATHEMATICS; v. 228, p. 18-pg., 2017-09-10.
Abstract

This work considers the metric case of the minimum sum-requirement communication spanning tree problem (SROCT), which is an NP-hard particular case of the minimum communication spanning tree problem (OCT). Given an undirected graph G = (V, E) with non-negative lengths omega(e) associated to the edges satisfying the triangular inequality and non-negative routing weights r(u) associated to nodes u E V, the objective is to find a spanning tree T of G, that minimizes: 1/2 Sigma u is an element of V Sigma u is an element of V (r(u) + r(v)) d(T, u, v), where d(H, x, y) is the minimum distance between nodes x and y in a graph H subset of G. We present a polynomial approximation scheme for the metric case of the SROCT improving the until now best existing approximation algorithm for this problem. (C) 2016 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 13/03447-6 - Combinatorial structures, optimization, and algorithms in theoretical Computer Science
Grantee:Carlos Eduardo Ferreira
Support Opportunities: Research Projects - Thematic Grants