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A Linear Time Algorithm for a Variant of the MAX CUT Problem in Series Parallel Graphs
Author
Source
Advances in Operations Research
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-12-10
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Information Technology and Computer Science
Abstract EN
Given a graph G=V,E, a connected sides cut U,V\U or δU is the set of edges of E linking all vertices of U to all vertices of V\U such that the induced subgraphs GU and GV\U are connected.
Given a positive weight function w defined on E, the maximum connected sides cut problem (MAX CS CUT) is to find a connected sides cut Ω such that wΩ is maximum.
MAX CS CUT is NP-hard.
In this paper, we give a linear time algorithm to solve MAX CS CUT for series parallel graphs.
We deduce a linear time algorithm for the minimum cut problem in the same class of graphs without computing the maximum flow.
American Psychological Association (APA)
Chaourar, Brahim. 2017. A Linear Time Algorithm for a Variant of the MAX CUT Problem in Series Parallel Graphs. Advances in Operations Research،Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1125209
Modern Language Association (MLA)
Chaourar, Brahim. A Linear Time Algorithm for a Variant of the MAX CUT Problem in Series Parallel Graphs. Advances in Operations Research No. 2017 (2017), pp.1-4.
https://search.emarefa.net/detail/BIM-1125209
American Medical Association (AMA)
Chaourar, Brahim. A Linear Time Algorithm for a Variant of the MAX CUT Problem in Series Parallel Graphs. Advances in Operations Research. 2017. Vol. 2017, no. 2017, pp.1-4.
https://search.emarefa.net/detail/BIM-1125209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1125209