Robustness of minimum cost arborescences

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Abstract

The minimum cost arborescence problem is a directed graph analogue of theminimum spanning tree problem in an undirected graph. In this paper, we study the minimum cost arborescence problem from the viewpoint of robustness of the optimal objective value, and we characterize an input graph in which the optimal objective value does not change even if we remove several arcs.

Original languageEnglish
Pages (from-to)485-497
Number of pages13
JournalJapan Journal of Industrial and Applied Mathematics
Volume29
Issue number3
DOIs
Publication statusPublished - Oct 1 2012

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Engineering(all)

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