The subgraph homeomorphism problem

Andrea S. La Paugh, Ronald L. Rivest

Research output: Contribution to journalConference article

Abstract

We investigate the problem of finding a homeomorphic image of a "pattern" graph H in a larger input graph G. We view this problem as finding specified sets of edge disjoint or node disjoint paths in G. Our main result is a linear time algorithm to determine if there exists a simple cycle containing three given nodes in G; here H is a triangle. No polynomial time algorithm for this problem was previously known. We also discuss a variety of reductions between related versions of this problem and a number of open problems.

Original languageEnglish (US)
Pages (from-to)40-50
Number of pages11
JournalProceedings of the Annual ACM Symposium on Theory of Computing
DOIs
StatePublished - May 1 1978
Event10th Annual ACM Symposium on Theory of Computing, STOC 1978 - San Diego, United States
Duration: May 1 1978May 3 1978

All Science Journal Classification (ASJC) codes

  • Software

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