Improved edge-coloring with three colors

被引:0
|
作者
Kowalik, Lukasz [1 ]
机构
[1] Warsaw Univ, Inst Informat, Warsaw, Poland
[2] Max Planck Inst Informat, Saarbrucken, Germany
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中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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 [1]. We extend 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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页码:90 / 101
页数:12
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