Node listings for reducible flow graphs

  • Authors:
  • A. V. Aho;J. D. Ullman

  • Affiliations:
  • -;-

  • Venue:
  • STOC '75 Proceedings of seventh annual ACM symposium on Theory of computing
  • Year:
  • 1975

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Abstract

In [1], Kennedy conjectures that for every n node reducible flow graph, there is a sequence of nodes (with repetitions) of length O(nlogn) such that all acyclic paths are subsequences thereof. Such a sequence would, if it could be found easily, enable one to do various kinds of global data flow analyses quickly. We show that for all reducible flow graphs such a sequence does exist, even if the number of edges is much larger than n. If the number of edges is O(n), the node listing can be found in O(nlogn) time.