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Minimum Edge-Ranking Spanning Tree Problem of Series-Parallel Graphs: Finding NP Completeness, Efficient Approximation Algorithm and the Ratio - Couverture souple

 
9783639196849: Minimum Edge-Ranking Spanning Tree Problem of Series-Parallel Graphs: Finding NP Completeness, Efficient Approximation Algorithm and the Ratio

Synopsis

This Book deals with the NP-Completeness and an approximation algorithm for finding minimum edge ranking spanning tree (MERST) on series-parallel graphs. An edge-ranking is optimal if the least number of distinct labels among all possible edge-rankings are used by it. The edge-ranking problem is to find an optimal edge-ranking of a given graph. The minimum edge-ranking spanning tree problem is to find a spanning tree of a graph G whose edge-ranking is minimum. The minimum edge-ranking spanning tree problem of graphs has important applications like scheduling the parallel assembly of a complex multi-part product from its components and relational database. Although polynomial-time algorithm to solve the minimum edge-ranking spanning tree problem on series- parallel graphs with bounded degrees has been found, but for the unbounded degrees no polynomial-time algorithm is known. In this work, we have proved that the minimum edge-ranking spanning tree problem for general series-parallel graph is NP-Complete and designed an efficient approximation algorithm which will find a near-optimal solution of the problem.

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Présentation de l'éditeur

This Book deals with the NP-Completeness and an approximation algorithm for finding minimum edge ranking spanning tree (MERST) on series-parallel graphs. An edge-ranking is optimal if the least number of distinct labels among all possible edge-rankings are used by it. The edge-ranking problem is to find an optimal edge-ranking of a given graph. The minimum edge-ranking spanning tree problem is to find a spanning tree of a graph G whose edge-ranking is minimum. The minimum edge-ranking spanning tree problem of graphs has important applications like scheduling the parallel assembly of a complex multi-part product from its components and relational database. Although polynomial-time algorithm to solve the minimum edge-ranking spanning tree problem on series- parallel graphs with bounded degrees has been found, but for the unbounded degrees no polynomial-time algorithm is known. In this work, we have proved that the minimum edge-ranking spanning tree problem for general series-parallel graph is NP-Complete and designed an efficient approximation algorithm which will find a near-optimal solution of the problem.

Biographie de l'auteur

Ahmed Shamsul Arefin is a PhD candidate, Computer Science at The University of Newcastle, Australia. He is currently working at the Centre for Bioinformatics, Biomarker Discovery and Information-Based Medicine. His interests centre on large scale graph algorithmics and bioinformatics. He has recieved MSc. from BUET and BSc. from CUET, Bangladesh.

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Ahmed Shamsul Arefin
Edité par VDM Verlag Dr. Müller, 2009
ISBN 10 : 3639196848 ISBN 13 : 9783639196849
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Arefin Ahmed ShamsulAhmed Shamsul Arefin is a PhD candidate, Computer Science at The University of Newcastle, Australia. He is currently working at the Centre for Bioinformatics, Biomarker Discovery and Information-Based Medicine. Hi. N° de réf. du vendeur 4966189

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Edité par Vdm Verlag Dr. Müller, 2009
ISBN 10 : 3639196848 ISBN 13 : 9783639196849
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Paperback. Etat : Brand New. 72 pages. 8.66x5.91x0.17 inches. In Stock. N° de réf. du vendeur __3639196848

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Arefin, Ahmed Sh.; Arefin, Ahmed Sh.
Edité par Vdm Verlag Dr. Müller, 2009
ISBN 10 : 3639196848 ISBN 13 : 9783639196849
Neuf Paperback

Vendeur : Revaluation Books, Exeter, Royaume-Uni

Évaluation du vendeur 5 sur 5 étoiles Evaluation 5 étoiles, En savoir plus sur les évaluations des vendeurs

Paperback. Etat : Brand New. 72 pages. 8.66x5.91x0.17 inches. In Stock. N° de réf. du vendeur 3639196848

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