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Hardness of robust network design

Authors: C. CHEKURI; G. P. ORIOLO; SCUTELLA', MARIA GRAZIA; F. B. SHEPHERD;

Hardness of robust network design

Abstract

AbstractThe authors settle the complexity status of the robust network design problem in undirected graphs. The fact that the flow‐cut gap in general graphs can be large, poses some difficulty in establishing a hardness result. Instead, the authors introduce a single‐source version of the problem where the flow‐cut gap is known to be one. They then show that this restricted problem is coNP‐Hard. This version also captures, as special cases, the fractional relaxations of several problems including the spanning tree problem, the Steiner tree problem, and the shortest path problem. © 2007 Wiley Periodicals, Inc. NETWORKS, Vol. 50(1), 50–54 2007

Country
Italy
Keywords

Settore MAT/09 - RICERCA OPERATIVA, Deterministic network models in operations research, network design, single-source hose model, robust optimization, Programming involving graphs or networks

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    51
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
51
Top 10%
Top 10%
Top 10%
Green
bronze