On a Traffic Control Problem

  • Authors:
  • WEIZHEN GU;XINGDE JIA

  • Affiliations:
  • Texas State University, San Marcos;Texas State University, San Marcos

  • Venue:
  • ISPAN '05 Proceedings of the 8th International Symposium on Parallel Architectures,Algorithms and Networks
  • Year:
  • 2005

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Abstract

A traffic network can be modeled by a digraph, while the traffic sensor location problem can be studied by using a minimum edge control set which is defined as follows. Let G = (V,E) be a digraph. A subset F of the edge set E is called an edge control set of G if every flow of G is completely determined by F. An edge control set F is said to be minimum if |F| is the least cardinality among all edge control sets of G. In this paper an algorithm for constructing a minimum edge control set of any digraph is established.