LNCS 2764 Improved Linear Time Approximation Algorithms for Weighted Matchings 1st Edition by Doratha Drake, Stefan Hougardy ISBN 3540380450 9783540380450

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Product details:

ISBN 10: 3540380450

ISBN 13: 9783540380450

Author:  Doratha E. Drake, Stefan Hougardy 

LNCS 2764 – Improved Linear Time Approximation Algorithms for Weighted Matchings 1st Edition: The weighted matching problem is to find a matching in a weighted graph that has maximum weight. The fastest known algorithm for this problem has running time O(n m + n ² logn). Many real world problems require graphs of such large size that this running time is too costly. We present a linear time approximation algorithm for the weighted matching problem with a performance ratio of <span id="MathJax-Element-1-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="23−ϵ”>23−ϵ. This improves the previously best performance ratio of <span id="MathJax-Element-2-Frame" class="MathJax_SVG" style="box-sizing: inherit; display: inline-block; font-style: normal; font-weight: normal; line-height: normal; font-size: 18px; font-size-adjust: none; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;" tabindex="0" role="presentation" data-mathml="12″>12.

 

LNCS 2764 – Improved Linear Time Approximation Algorithms for Weighted Matchings 1st Edition Table of contents:

1 Introduction

2 Preliminaries

3 Short Augmentations

4 The Algorithm

 

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