Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem

Let G=(V,E) be an undirected graph with a weight function and a cost function on edges. The constrained minimum spanning tree problem is to find a minimum cost spanning tree T in G such that the total weight in T is at most a given bound B. In this paper, we present two polynomial time approximation...

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Main Author: Yen Hung Chen
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/394721
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author Yen Hung Chen
author_facet Yen Hung Chen
author_sort Yen Hung Chen
collection DOAJ
description Let G=(V,E) be an undirected graph with a weight function and a cost function on edges. The constrained minimum spanning tree problem is to find a minimum cost spanning tree T in G such that the total weight in T is at most a given bound B. In this paper, we present two polynomial time approximation schemes (PTASs) for the constrained minimum spanning tree problem.
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series Journal of Applied Mathematics
spelling doaj-art-50bf600c8ef04ca98a99d3d66d80c50a2025-02-03T01:27:50ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/394721394721Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree ProblemYen Hung Chen0Department of Computer Science, Taipei Municipal University of Education, No. 1, Ai-Guo West Road, Taipei 10048, TaiwanLet G=(V,E) be an undirected graph with a weight function and a cost function on edges. The constrained minimum spanning tree problem is to find a minimum cost spanning tree T in G such that the total weight in T is at most a given bound B. In this paper, we present two polynomial time approximation schemes (PTASs) for the constrained minimum spanning tree problem.http://dx.doi.org/10.1155/2012/394721
spellingShingle Yen Hung Chen
Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
Journal of Applied Mathematics
title Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
title_full Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
title_fullStr Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
title_full_unstemmed Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
title_short Polynomial Time Approximation Schemes for the Constrained Minimum Spanning Tree Problem
title_sort polynomial time approximation schemes for the constrained minimum spanning tree problem
url http://dx.doi.org/10.1155/2012/394721
work_keys_str_mv AT yenhungchen polynomialtimeapproximationschemesfortheconstrainedminimumspanningtreeproblem