A Symbolic Algorithms for Maximum Flow in 0-1 Networks

  • Authors:
  • G. D. Hachtel;F. Somenzi

  • Affiliations:
  • University of Colorado, Department of Electrical and Computer Engineering, Boulder, CO 80309;University of Colorado, Department of Electrical and Computer Engineering, Boulder, CO 80309

  • Venue:
  • Formal Methods in System Design
  • Year:
  • 1997

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Abstract

We present an algorithm for finding the maximum flow in a 0-1 network. The algorithm is symbolic and does not require explicitenumeration of the nodes and edges of the network. Therefore, it canhandle much larger graphs than it was previously possible (more than10^36 edges). The main idea is to trace (implicitly)sets of edge-disjoint augmenting paths. Disjointness is enforced bysolving an edge matching problem for each layer of the network withthe help of newly defined priority functions.