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Augmenting edge and vertex connectivities simultaneously

  • Ishii Toshimasa
  • Nagamochi Hiroshi
  • Ibaraki Toshihide
Session 3A
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1350)

Abstract

Given an undirected multigraph G = (V, E) and requirement functions rλ : ( 2 χ ) → Z+ and rκ : ( 2 χ ) Z+ (where Z+ is the set of nonnegative integers), we consider the problem of augmenting G by the smallest number of new edges so that the edge-connectivity and vertex connectivity between every pair χ, γ ε V become at least rλ (χ, γ) and r k ,(χ,γ), respectively, in the resulting graph G′. In this paper, we show that the problem can be solved in polynomial time if rk is given by rk,(χ, γ) = 2 for all χ, γ ε V.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Ishii Toshimasa
    • 1
  • Nagamochi Hiroshi
    • 1
  • Ibaraki Toshihide
    • 1
  1. 1.Department of Applied Mathematics and Physics Graduate School of EngineeringKyoto UniversityKyotoJapan

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