Geographic max-flow and min-cut under a circular disk failure model

Sebastian Neumayer, Alon Efrat, Eytan Modiano

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


Failures in fiber-optic networks may be caused by natural disasters, such as floods or earthquakes, as well as other events, such as an Electromagnetic Pulse (EMP) attack. These events occur in specific geographical locations, therefore the geography of the network determines the effect of failure events on the network's connectivity and capacity. In this paper we consider a generalization of the min-cut and max-flow problems under a geographic failure model. Specifically, we consider the problem of finding the minimum number of failures, modeled as circular disks, to disconnect a pair of nodes and the maximum number of failure disjoint paths between pairs of nodes. This model applies to the scenario where an adversary is attacking the network multiple times with intention to reduce its connectivity. We present a polynomial time algorithm to solve the geographic min-cut problem and develop an ILP formulation, an exact algorithm, and a heuristic algorithm for the geographic max-flow problem.

Original languageEnglish (US)
Pages (from-to)117-127
Number of pages11
JournalComputer Networks
StatePublished - Feb 11 2015


  • Electromagnetic Pulse (EMP)
  • Fiber-optic
  • Geographically correlated failures
  • Min-cut max-flow
  • Network survivability

ASJC Scopus subject areas

  • Computer Networks and Communications


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