Prof. Toufik
Mansour
Department of
Mathematics
University of
Haifa, Israel
Professor
Email:
tmansour@univ.haifa.ac.il
Qualifications
2001 Ph.D., University of Haifa, Israel
1998 M.Sc., University of Haifa, Israel
1992 B.Sc., Technion Institute of Technology,
Israel
Publications
(Selected)
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Mansour, T. and
Vainshtein, A. 2000. Restricted permutations, continued fractions, and Chebyshev
polynomials, The Electronic Journal of Combinatorics 7, #R17.
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Mansour, T. and
Vainshtein, A., 2002. Counting occurrences of 132 in a permutation, Advances in
Applied Mathematics 28:2, 185-195.
-
Mansour, T., 2002.
Combinatorial identities and inverse binomial coefficients, Advances in Applied
Mathematics 28:2, 196-202.
-
Guibert, O. and
Mansour, T., 2002. Some statistics on restricted 132 involutions, Annals of
Combinatorics 6:3-4, 349-374.
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Mansour, T., 2004.
On an open problem of Green and Losonczy: exact enumeration of freely braided
permutations, Discrete Mathematics and Theoretical Computer Science 6:2,
461-470.
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Branden, P. and
Mansour, T., 2005. Finite automata and pattern avoidance in words, Journal
Combinatorial Theory Series A 110:1, 127-145.
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Braunstein, S.L.,
Ghosh, S., Mansour, T., Severini, S. and Wilson, R.C., 2006. Some families of
density matrices for which separability is easily tested, Physical Review A 73,
012320, 1-10.
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Mansour, T., 2006.
Restricted 132-avoiding k-ary words, Chebyshev polynomials, and Continued
fractions, Advances in Applied Mathematics 36:2, 175-193.
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Mansour, T.,
Schork, M. and Severini, S., 2007. A generalization of the boson normal
ordering, Physics Letters A 364:3-4, 214-220.
-
Mansour, T.,
Schork, M. and Severini, S., 2007. Wick's theorem for q-deformed boson
operators, Journal of Physics A: Mathematical and Theoretical 40, 8393-8401.
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Li, Nelson Y. and
Mansour, T., 2008. An identity involving Narayana numbers, European Journal of
Combinatorics 29:3, 672-675.
-
Jelinek V. and Mansour,
T., 2008. On pattern-avoiding partitions, Electronic Journal of Combinatorics
15, #R39.
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Dukes, W.M.B.,
Jelinek, V., Mansour, T. and Reifegerste, A., 2009. New equivalences for
pattern avoidance for involutions, Proceedings of the American Mathematical
Society 137, 457-465.
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Mansour, T., 2009.
Identities for sums q-analogue of polylogarithm functions, Letters in
Mathematical Physics 87:1-2, 1-18.
-
Jelinek V. and
Mansour, T., 2009. Wilf-equivalence on k-ary words, compositions, and parking
functions, Electronic Journal of Combinatorics 16, #R58.
-
Mansour T. and S.
Severini, S., 2009. Counting paths in Bratteli diagrams for SU(2)k, EPL-A
Letters Journal Exploring the Frontiers of Physics (Europhsics Letters) 86,
33001.
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Hamma, A.,
Mansour, T. and Severini, S., 2009. Diffusion on an Ising chain with kinks,
Physics Letters A 373:31, 2622-2628.
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Mansour, T.,
Shattuck, M. and Yan, Sherry H.F., 2010. Counting subwords in a partition of a
set, Electronic Journal of Combinatorics 17, #R19.
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Iguri S. and
Mansour, T., 2010. Some recursive formulas for Selberg-type integrals, Journal
of Physics A: Mathematical and Theoretical 43, 065201.
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Knopfmacher, A.,
Mansour, T. and Wagner, S., 2010. Records in set partitions, Electronic Journal
of Combinatorics 17, #R109.
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Bates B. and
Mansour, T., 2011. The q-Calkin-Wilf Tree, Journal of Combinatorial Theory,
Series A 118, 1143-1151.
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Bevilacqua, G.,
Biancalana, V., Dancheva, Y., Mansour, T. and L. Moi, 2011. A new class of sum
rules for products of Bessel functions, Journal of Mathematical Physics 52
(2011) 033508.
-
Mansour T. and
Schork, M., 2011. The commutation relation xy=qyx+hf(y) and Newton's binomial
formula, The Ramanujan Journal 25, 405-445.
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Chen, Y., Gross
J.L. and Mansour, T., 2013. Total embedding distributions of circular ladders,
Journal Graph Theory 73:2, 32-57.
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Gross, J.L.,
Mansour, T., Tucker T.W. and Wang, David G.L., 2015. Log-Concavity of
combinations of sequences and applications to Genus distributions, SIAM
Discrete Mathematics 29:2, 1002-1029.
Profile Details
www.math.haifa.ac.il/toufik