HomeCAAGT Yutsis
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AuthorsDries Van Dyck Veerle Fack
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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
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[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).
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[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).
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