THE FIRST APPROXIMATED DISTRIBUTED ALGORITHM FOR THE MINIMUM DEGREE SPANNING TREE PROBLEM ON GENERAL GRAPHS-Reference-Cited by-同舟云学术

THE FIRST APPROXIMATED DISTRIBUTED ALGORITHM FOR THE MINIMUM DEGREE SPANNING TREE PROBLEM ON GENERAL GRAPHS

Published:2004-06 Issue:03 Volume:15 Page:507-516
ISSN:0129-0541
Container-title:International Journal of Foundations of Computer Science
language:en
Short-container-title:Int. J. Found. Comput. Sci.

Author:

BLIN LÉLIA¹,BUTELLE FRANCK¹

Affiliation:

1. LIPN, CNRS-UMR-7030, Université Paris-Nord, Avenue Jean-Baptiste Clément, 93430 Villetaneuse, France

Abstract

In this paper we present the first distributed algorithm on general graphs for the Minimum Degree Spanning Tree problem. The problem is NP-hard in sequential. Our algorithm give a Spanning Tree of a degree at most 1 from the optimal. The resulting distributed algorithm is asynchronous, it works for named asynchronous arbitrary networks and achieves O(|V|) time complexity and O(|V||E|) message complexity.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129054104002571

Reference6 articles.

1. The Optimality of Distributive Constructions of Minimum Weight and Degree Restricted Spanning Trees in a Complete Network of Processors

2. A Distributed Algorithm for Minimum-Weight Spanning Trees

3. A SubLinear Time Distributed Algorithm for Minimum-Weight Spanning Trees

4. Distributed Algorithms

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