NDLI: A Branch-Price-and-Cut Algorithm for Packing Cuts in Undirected Graphs

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A Branch-Price-and-Cut Algorithm for Packing Cuts in Undirected Graphs

Content Provider	ACM Digital Library
Author	Bergner, Martin Lbbecke, Marco E. Witt, Jonas T.
Copyright Year	2016
Description	Author Affiliation: RWTH Aachen University, Aachen, Germany (Bergner, Martin; Lbbecke, Marco E.; Witt, Jonas T.)
Abstract	The cut packing problem in an undirected graph is to find a largest cardinality collection of pairwise edge-disjoint cuts. We provide the first experimental study of this NP-hard problem that is interesting from a pure theorist’s viewpoint as well as from the standpoint of scientific applications (e.g., in bioinformatics and network reliability). So far it could not be solved exactly. We propose a branch-price-and-cut algorithm to optimally solve instances from various graph classes, random and from the literature, with up to several hundred vertices. In particular, we investigate how complexity results match computational experience and how combinatorial properties help improve the algorithm’s performance.
Starting Page	1
Ending Page	16
Page Count	16
File Format	PDF
ISSN	10846654
e-ISSN	10846654
DOI	10.1145/2851492
Journal	Journal of Experimental Algorithmics (JEA)
Volume Number	21
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2016-01-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Column generation Branch-price-and-cut Packing problem
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science

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