Relevant bibliographies by topics / Multipermutations

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Multipermutations'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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Journal articles on the topic "Multipermutations"

1

Park, SeungKyung. "The r-multipermutations." Journal of Combinatorial Theory, Series A 67, no. 1 (July 1994): 44–71. http://dx.doi.org/10.1016/0097-3165(94)90003-5.

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Dzhumadil’daev, A. S. "Worpitzky identity for multipermutations." Mathematical Notes 90, no. 3-4 (September 2011): 448–50. http://dx.doi.org/10.1134/s0001434611090136.

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Park, SeungKyung. "Inverse descents of r-multipermutations." Discrete Mathematics 132, no. 1-3 (September 1994): 215–29. http://dx.doi.org/10.1016/0012-365x(94)90239-9.

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Lin, Zhicong. "On the descent polynomial of signed multipermutations." Proceedings of the American Mathematical Society 143, no. 9 (March 18, 2015): 3671–85. http://dx.doi.org/10.1090/s0002-9939-2015-12555-5.

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Lin, Zhicong, Jun Ma, and Philip B. Zhang. "Statistics on multipermutations and partial γ-positivity." Journal of Combinatorial Theory, Series A 183 (October 2021): 105488. http://dx.doi.org/10.1016/j.jcta.2021.105488.

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Rawlings, Don. "Bernoulli trials and permutation statistics." International Journal of Mathematics and Mathematical Sciences 15, no. 2 (1992): 291–311. http://dx.doi.org/10.1155/s0161171292000371.

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Several coin-tossing games are surveyed which, in a natural way, give rise to “statistically” induced probability measures on the set of permutations of{1,2,…,n}and on sets of multipermutations. The distributions of a general class of random variables known as binary tree statistics are also given.
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Chee, Yeow Meng, San Ling, Tuan Thanh Nguyen, Van Khu Vu, Hengjia Wei, and Xiande Zhang. "Burst-Deletion-Correcting Codes for Permutations and Multipermutations." IEEE Transactions on Information Theory 66, no. 2 (February 2020): 957–69. http://dx.doi.org/10.1109/tit.2019.2933819.

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Liu, Xishuo, and Stark C. Draper. "LP-Decodable Multipermutation Codes." IEEE Transactions on Information Theory 62, no. 4 (April 2016): 1631–48. http://dx.doi.org/10.1109/tit.2016.2526655.

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ZHAO, Peng, Jianjun MU, Yucheng HE, and Xiaopeng JIAO. "Multipermutation Codes Correcting a Burst of Deletions." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E101.A, no. 2 (2018): 535–38. http://dx.doi.org/10.1587/transfun.e101.a.535.

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Yang, Z. F. "Multipermutation-Based Intersection Theorem and Its Applications." Journal of Optimization Theory and Applications 104, no. 2 (February 2000): 477–87. http://dx.doi.org/10.1023/a:1004626216810.

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Dissertations / Theses on the topic "Multipermutations"

1

Lin, Zhicong. "Eulerian calculus arising from permutation statistics." Phd thesis, Université Claude Bernard - Lyon I, 2014. http://tel.archives-ouvertes.fr/tel-00996105.

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In 2010 Chung-Graham-Knuth proved an interesting symmetric identity for the Eulerian numbers and asked for a q-analog version. Using the q-Eulerian polynomials introduced by Shareshian-Wachs we find such a q-identity. Moreover, we provide a bijective proof that we further generalize to prove other symmetric qidentities using a combinatorial model due to Foata-Han. Meanwhile, Hyatt has introduced the colored Eulerian quasisymmetric functions to study the joint distribution of the excedance number and major index on colored permutations. Using the Decrease Value Theorem of Foata-Han we give a new proof of his main generating function formula for the colored Eulerian quasisymmetric functions. Furthermore, certain symmetric q-Eulerian identities are generalized and expressed as identities involving the colored Eulerian quasisymmetric functions. Next, generalizing the recent works of Savage-Visontai and Beck-Braun we investigate some q-descent polynomials of general signed multipermutations. The factorial and multivariate generating functions for these q-descent polynomials are obtained and the real rootedness results of some of these polynomials are given. Finally, we study the diagonal generating function of the Jacobi-Stirling numbers of the second kind by generalizing the analogous results for the Stirling and Legendre-Stirling numbers of the second kind. It turns out that the generating function is a rational function, whose numerator is a polynomial with nonnegative integral coefficients. By applying Stanley's theory of P-partitions we find combinatorial interpretations of those coefficients
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Book chapters on the topic "Multipermutations"

1

Camion, Paul, and Anne Canteaut. "Generalization of Siegenthaler Inequality and Schnorr-Vaudenay Multipermutations." In Advances in Cryptology — CRYPTO ’96, 372–86. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/3-540-68697-5_28.

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Schnorr, C. P., and S. Vaudenay. "Black box cryptanalysis of hash networks based on multipermutations." In Advances in Cryptology — EUROCRYPT'94, 47–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0053423.

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Vaudenay, Serge. "On the need for multipermutations: Cryptanalysis of MD4 and SAFER." In Fast Software Encryption, 286–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/3-540-60590-8_22.

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Conference papers on the topic "Multipermutations"

1

Sala, Frederic, Ryan Gabrys, and Lara Dolecek. "Deletions in multipermutations." In 2014 IEEE International Symposium on Information Theory (ISIT). IEEE, 2014. http://dx.doi.org/10.1109/isit.2014.6875338.

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Buzaglo, Sarit, Eitan Yaakobi, Tuvi Etzion, and Jehoshua Bruck. "Error-correcting codes for multipermutations." In 2013 IEEE International Symposium on Information Theory (ISIT). IEEE, 2013. http://dx.doi.org/10.1109/isit.2013.6620321.

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Liu, Xishuo, and Stark C. Draper. "LP-decodable multipermutation codes." In 2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE, 2014. http://dx.doi.org/10.1109/allerton.2014.7028540.

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Farnoud, Farzad, and Olgica Milenkovic. "Multipermutation codes in the Ulam metric." In 2014 IEEE International Symposium on Information Theory (ISIT). IEEE, 2014. http://dx.doi.org/10.1109/isit.2014.6875335.

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Liu, Xishuo, and Stark C. Draper. "Encoding and decoding algorithms for LP-decodable multipermutation codes." In 2015 IEEE Information Theory Workshop (ITW). IEEE, 2015. http://dx.doi.org/10.1109/itw.2015.7133088.

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Kong, Justin, and Manabu Hagiwara. "Multipermutation Ulam sphere analysis toward characterizing maximal code size." In 2017 IEEE International Symposium on Information Theory (ISIT). IEEE, 2017. http://dx.doi.org/10.1109/isit.2017.8006805.

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Journal articles
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