Detecting short directed cycles using rectangular matrix multiplication and dynamic programming

@inproceedings{Yuster2004DetectingSD,
  title={Detecting short directed cycles using rectangular matrix multiplication and dynamic programming},
  author={Raphael Yuster and Uri Zwick},
  booktitle={SODA},
  year={2004}
}
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
Highly Cited
This paper has 45 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 31 extracted citations

OuterSPACE: An Outer Product Based Sparse Matrix Multiplication Accelerator

2018 IEEE International Symposium on High Performance Computer Architecture (HPCA) • 2018
View 1 Excerpt

REC: Predictable Charging Scheduling for Electric Taxi Fleets

2017 IEEE Real-Time Systems Symposium (RTSS) • 2017
View 1 Excerpt

References

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
Highly Influenced

Similar Papers

Loading similar papers…