Classification and reduction of Yutsis graphs

Home CAAGT Yutsis Contents 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).