Presentation 2004-09-17
Minimum 2-Vertex-Connectivity Augmentation for Specified Vertices of a Graph with Degree Constraints
Toshiya MASHIMA, Takanori FUKUOKA, Satoshi TAOKA, Toshimasa WATANABE,
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Abstract(in English) The 2-vertex-connectivity augmentation problem for a specified set of vertices of a graph with degree constraints, 2VCA-SV-DC, is defined as follows: "Given an undirected graph G=(V,E), a specified set of vertices S_0〓V with |S_0|≧3 and a function g:V→Z^+∪{∞}, find a smallest set E' of edges such that (V,E∪E') has at least two internally-disjoint paths between any pair of vertices in S_0 and such that vertex-degree increase of each v∈V by the addition of E' to G is at most g(v), here Z^+ is the set of nonnegative integers. "This paper shows a linear time algorithm for 2VCA-SV-DC.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) graphs / vertex-connectivity of a specified set of vertices / augmentation problems / degree constraints / linear time algorithms
Paper # COMP2004-33
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Conference Information
Committee COMP
Conference Date 2004/9/10(1days)
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Registration To Theoretical Foundations of Computing (COMP)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Minimum 2-Vertex-Connectivity Augmentation for Specified Vertices of a Graph with Degree Constraints
Sub Title (in English)
Keyword(1) graphs
Keyword(2) vertex-connectivity of a specified set of vertices
Keyword(3) augmentation problems
Keyword(4) degree constraints
Keyword(5) linear time algorithms
1st Author's Name Toshiya MASHIMA
1st Author's Affiliation Faculty of Infrastructural Technologies, Hiroshima International University()
2nd Author's Name Takanori FUKUOKA
2nd Author's Affiliation Graduate School of Engineering, Hiroshima University
3rd Author's Name Satoshi TAOKA
3rd Author's Affiliation Graduate School of Engineering, Hiroshima University
4th Author's Name Toshimasa WATANABE
4th Author's Affiliation Graduate School of Engineering, Hiroshima University
Date 2004-09-17
Paper # COMP2004-33
Volume (vol) vol.104
Number (no) 317
Page pp.pp.-
#Pages 8
Date of Issue