Detecting short directed cycles using rectangular matrix multiplication and dynamic programming

  title={Detecting short directed cycles using rectangular matrix multiplication and dynamic programming},
  author={Raphael Yuster and Uri Zwick},
We present several new algorithms for detecting short fixed length cycles in digraphs. The new algorithms utilize fast rectangular matrix multiplication algorithms together with a dynamic programming approach similar to the one used in the solution of the classical chain matrix product problem. The new algorithms are instantiations of a generic algorithm that we present for finding a directed <i>C</i><inf><i>k</i></inf>, i.e., a directed cycle of length <i>k</i>, in a digraph, for any fixed <i… CONTINUE READING
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Publications referenced by this paper.
Showing 1-2 of 2 references

Detecting directed 4-cycles still faster

Inf. Process. Lett. • 2003
View 4 Excerpts
Highly Influenced

Fast Rectangular Matrix Multiplication and Applications

J. Complexity • 1998
View 4 Excerpts
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