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Numerical algorithm for ṕolya enumeration theorem

Publication ,  Journal Article
Rosenbrock, CW; Morgan, WS; Hart, GLW; Curtarolo, S; Forcade, RW
Published in: ACM Journal of Experimental Algorithmics
August 1, 2016

Although the Ṕolya enumeration theorem has been used extensively for decades, an optimized, purely numerical algorithm for calculating its coefficients is not readily available. We present such an algorithm for finding the number of unique colorings of a finite set under the action of a finite group.

Duke Scholars

Published In

ACM Journal of Experimental Algorithmics

DOI

ISSN

1084-6654

Publication Date

August 1, 2016

Volume

21

Issue

1

Related Subject Headings

  • 4901 Applied mathematics
  • 4606 Distributed computing and systems software
  • 0802 Computation Theory and Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics
 

Citation

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Rosenbrock, C. W., Morgan, W. S., Hart, G. L. W., Curtarolo, S., & Forcade, R. W. (2016). Numerical algorithm for ṕolya enumeration theorem. ACM Journal of Experimental Algorithmics, 21(1). https://doi.org/10.1145/2955094
Rosenbrock, C. W., W. S. Morgan, G. L. W. Hart, S. Curtarolo, and R. W. Forcade. “Numerical algorithm for ṕolya enumeration theorem.” ACM Journal of Experimental Algorithmics 21, no. 1 (August 1, 2016). https://doi.org/10.1145/2955094.
Rosenbrock CW, Morgan WS, Hart GLW, Curtarolo S, Forcade RW. Numerical algorithm for ṕolya enumeration theorem. ACM Journal of Experimental Algorithmics. 2016 Aug 1;21(1).
Rosenbrock, C. W., et al. “Numerical algorithm for ṕolya enumeration theorem.” ACM Journal of Experimental Algorithmics, vol. 21, no. 1, Aug. 2016. Scopus, doi:10.1145/2955094.
Rosenbrock CW, Morgan WS, Hart GLW, Curtarolo S, Forcade RW. Numerical algorithm for ṕolya enumeration theorem. ACM Journal of Experimental Algorithmics. 2016 Aug 1;21(1).

Published In

ACM Journal of Experimental Algorithmics

DOI

ISSN

1084-6654

Publication Date

August 1, 2016

Volume

21

Issue

1

Related Subject Headings

  • 4901 Applied mathematics
  • 4606 Distributed computing and systems software
  • 0802 Computation Theory and Mathematics
  • 0102 Applied Mathematics
  • 0101 Pure Mathematics