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An experimental study of a simple, distributed edge-coloring algorithm

Authors:

Madhav V. Marathe,

Alessandro Panconesi,

Larry D. Risinger, jrAuthors Info & Claims

Journal of Experimental Algorithmics (JEA), Volume 9

Pages 1.3 - es

https://doi.org/10.1145/1005813.1041515

Published: 31 December 2004 Publication History

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Abstract

We conduct an experimental analysis of a distributed randomized algorithm for edge coloring simple undirected graphs. The algorithm is extremely simple yet, according to the probabilistic analysis, it computes nearly optimal colorings very quickly [Grable and Panconesi 1997]. We test the algorithm on a number of random as well as nonrandom graph families.The test cases were chosen based on two objectives: (i) to provide insights into the worst-case behavior (in terms of time and quality) of the algorithm and (ii) to test the performance of the algorithm with instances that are likely to arise in practice. Our main results include the following:(1) The empirical results obtained compare very well with the recent empirical results reported by other researchers [Durand et al. 1994, 1998; Jain and Werth 1995].(2) The empirical results confirm the bounds on the running time and the solution quality as claimed in the theoretical paper. Our results show that for certain classes of graphs the algorithm is likely to perform much better than the analysis suggests.(3) The results demonstrate that the algorithm might be well suited (from a theoretical as well as practical standpoint) for edge coloring graphs quickly and efficiently in a distributed setting.Based on our empirical study, we propose a simple modification of the original algorithm with substantially improved performance in practice.

References

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An experimental study of a simple, distributed edge-coloring algorithm

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cover image ACM Journal of Experimental Algorithmics

ACM Journal of Experimental Algorithmics Volume 9, Issue

2004

189 pages

ISSN:1084-6654

EISSN:1084-6654

DOI:10.1145/1005813

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Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 31 December 2004

Published in JEA Volume 9

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Venkataraman HPurohit APareek RMuntean G(2012)Radio Resource Allocation for Cognitive Radio Based Ad hoc Wireless NetworksCognitive Radio and its Application for Next Generation Cellular and Wireless Networks10.1007/978-94-007-1827-2_11(287-305)Online publication date: 28-Apr-2012
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Choudhary SPurohit GMishra B(2010)Randomized distributed algorithm for vertex coloringProceedings of the International Conference and Workshop on Emerging Trends in Technology10.1145/1741906.1742013(477-480)Online publication date: 26-Feb-2010
https://dl.acm.org/doi/10.1145/1741906.1742013
Choudhary SPurohit G(2010)Distributed algorithm for optimized vertex coloring2010 International Conference on Methods and Models in Computer Science (ICM2CS-2010)10.1109/ICM2CS.2010.5706720(65-69)Online publication date: Dec-2010
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