Presentation 1994/1/26
Simplicity-Preserving Augmentation of the Edge-Connectivity of a Graph
Satoshi Taoka, Daisuke Takafuji, Toshimasa Watanabe,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) The unweighted κ-edge-connectivity augmentation problem(UW-κECA for short)is defined by ″Given a graph G =(N,A),find an edge set A′ of minimum cardinality,with each element connecting distinct ve rtices of N,such that G′ =(N,A ∩ A′)is κ-edge-connected.″The s ubject of the paper is UW-(λ+1)ECA(S,SA)for λ-edge-connected grap hs G with λ = 3 or 4,where UW-(λ+1)ECA(S,SA)denotes UW-(λ+1)ECA in which both G and G′ are simple.No characterizations or algorith ims for UW-(λ+1)ECA(S,SA)with λ【greater than or equal】3 have be en shown so far.The paper proposes the following two algorithims: (1)an Ο( A + N log N )algorithm for solving UW-4ECA(S,SA),where G is 3-edge-connected,simple and Ο( A + N ^2)algorithm for solving UW-5ECA(S,SA),where G is 4-edge- connected,simple and
Keyword(in Japanese) (See Japanese page)
Keyword(in English) connectivity augmentation problems / edge-connectivity / maximum matchings / poly nomial-time algorithms
Paper # COMP93-73
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Committee COMP
Conference Date 1994/1/26(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) Simplicity-Preserving Augmentation of the Edge-Connectivity of a Graph
Sub Title (in English)
Keyword(1) connectivity augmentation problems
Keyword(2) edge-connectivity
Keyword(3) maximum matchings
Keyword(4) poly nomial-time algorithms
1st Author's Name Satoshi Taoka
1st Author's Affiliation Department of Circuits and Systems,Faculty of Engineering, Hiroshima University()
2nd Author's Name Daisuke Takafuji
2nd Author's Affiliation Department of Circuits and Systems,Faculty of Engineering, Hiroshima University
3rd Author's Name Toshimasa Watanabe
3rd Author's Affiliation Department of Circuits and Systems,Faculty of Engineering, Hiroshima University
Date 1994/1/26
Paper # COMP93-73
Volume (vol) vol.93
Number (no) 438
Page pp.pp.-
#Pages 8
Date of Issue