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  Improved Edge Coloring with Three Colors

Kowalik, L. (2006). Improved Edge Coloring with Three Colors. In Graph-Theoretic Concepts in Computer Science, 32nd International Workshop, WG 2006 (pp. 90-101). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2328-9 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-232A-5
Genre: Conference Paper

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 Creators:
Kowalik, Lukasz1, Author           
Fomin, Fedor V., Editor
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: We show an $O(1.344^n) = O(2^{0.427n})$ algorithm for edge-coloring an n-vertex graph using three colors. Our algorithm uses polynomial space. This improves over the previous, $O(2^{n/2})$ algorithm of Beigel and Eppstein. We apply a very natural approach of generating inclusion-maximal matchings of the graph. The time complexity of our algorithm is estimated using the “measure and conquer” technique.

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Language(s): eng - English
 Dates: 2007-04-262006
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 314526
Other: Local-ID: C1256428004B93B8-B99A5ACCABF44B8AC1257237007FD6ED-Kowalik2005
 Degree: -

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Title: Untitled Event
Place of Event: Bergen, Norway
Start-/End Date: 2006-06-22

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Title: Graph-Theoretic Concepts in Computer Science, 32nd International Workshop, WG 2006
Source Genre: Proceedings
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Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 90 - 101 Identifier: ISBN: 3-540-48381-0

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Pages: - Volume / Issue: 4271 Sequence Number: - Start / End Page: - Identifier: -