Classification and reduction of Yutsis graphs

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Yutsis


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Project description

References

Software


Authors

Dries Van Dyck

Veerle Fack

References

Recent papers

  • V. Fack, D. Van Dyck, "Filtering Yutsis graphs", In: Proceedings of the EWM 2002 Workshop on Groups and Graphs (2002).
  • D. Van Dyck, V. Fack, "A new heuristic approach to the calculation of general recoupling coefficients", Computer Physics Communications 151 (2003) 354-368.
  • D. Van Dyck, V. Fack, "GYutsis: heuristic based calculation of general recoupling coefficients", Computer Physics Communications 154 (2003) 219-232.
  • D. Van Dyck, V. Fack, "To be or not to be Yutsis", Electronic Notes in Discrete Mathematics 17 (2004) 275-279.
  • D. Van Dyck, V. Fack, "On the reduction of Yutsis graphs", Discrete Mathematics (to appear).
  • D. Van Dyck, G. Brinkmann, V. Fack, B.D. McKay, "To be or not to be Yutsis: algorithms for the decision problem", (submitted to Computer Physics Communications, 2005).

Earlier related work

  • V. Fack, J. Van der Jeugt, K. Srinivasa Rao, "Parallel computation of recoupling coefficients using transputers", Computer Physics Communications 71 (1992) 285-304.
  • V. Fack, S.N. Pitre, J. Van der Jeugt, "New efficient programs to calculate general recoupling coefficients, Part I: Generation of a summation formula", Computer Physics Communications 83 (1994) 275-292.
  • V. Fack, S.N. Pitre, J. Van der Jeugt, "New efficient programs to calculate general recoupling coefficients, Part II: Evaluation of a summation formula", Computer Physics Communications 86 (1995) 105-122.
  • V. Fack, S.N. Pitre and J. Van der Jeugt, "Calculation of general recoupling coefficients using graphical methods", Computer Physics Communications 101 (1997) 155-170.
  • V. Fack, S.N. Pitre, J. Van der Jeugt, "Racah coefficients, general recoupling coefficients and graph theoretical methods", In: Special Functions and Differential Equations, eds. K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe and J. Van der Jeugt (Allied Publishers, New Delhi, 1997), 178-183.
  • V. Fack, S. Lievens and J. Van der Jeugt, "On rotation distance between binary coupling trees and applications for 3nj-coefficients", Computer Physics Communications 119 (1999) 99-114.
  • V. Fack, S. Lievens, J. Van der Jeugt, "On bounds for the rotation distance between binary coupling trees", Electronic Notes in Discrete Mathematics 3 (1999).
  • V. Fack, S. Lievens, J. Van der Jeugt, "On the diameter of the rotation graph of binary coupling trees", Discrete Mathematics 245 (2002) 1-18.

General references

  • [BL81] L.C. Biedenharn and J.D. Louck, "Coupling of n angular momenta: recoupling theory", in: The Racah-Wigner Algebra in Quantum Theory, Encyclopedia of Mathematics and its Applications, Vol.9, pp.435-481 (Addison-Wesley, 1981).
  • [YLV62] A.P. Yutsis, I.B. Levinson and V.V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum (Israel Program for Scientific Translation, Jerusalem, 1962).

Last update: July 13, 2005.