Results 11 to 20 of about 396,980 (268)
Permutation Classes of Polynomial Growth [PDF]
, 2007 A pattern class is a set of permutations closed under the formation of subpermutations. Such classes can be characterised as those permutations not involving a particular set of forbidden permutations.
M. D. Atkinson +5 more
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A relation on 132-avoiding permutation patterns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 A permutation $σ$ contains the permutation $τ$ if there is a subsequence of $σ$ order isomorphic to $τ$. A permutation $σ$ is $τ$-avoiding if it does not contain the permutation $τ$.
Natalie Aisbett
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Magic Square and Arrangement of Consecutive Integers That Avoids k-Term Arithmetic Progressions
Mathematics, 2021 In 1977, Davis et al. proposed a method to generate an arrangement of [n]={1,2,…,n} that avoids three-term monotone arithmetic progressions. Consequently, this arrangement avoids k-term monotone arithmetic progressions in [n] for k≥3.
Kai An Sim, Kok Bin Wong
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Avoiding maximal parabolic subgroups of S_k [PDF]
Discrete Mathematics & Theoretical Computer Science, 2000 We find an explicit expression for the generating function of the number of permutations in S_n avoiding a subgroup of S_k generated by all but one simple transpositions.
Toufik Mansour, Alek Vainshtein
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New Hopf Structures on Binary Trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 The multiplihedra $\mathcal{M}_{\bullet} = (\mathcal{M}_n)_{n \geq 1}$ form a family of polytopes originating in the study of higher categories and homotopy theory. While the multiplihedra may be unfamiliar to the algebraic combinatorics community, it is
Stefan Forcey +2 more
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Enumeration of the distinct shuffles of permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 A shuffle of two words is a word obtained by concatenating the two original words in either order and then sliding any letters from the second word back past letters of the first word, in such a way that the letters of each original word remain spelled ...
Camillia Smith Barnes
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Partitioned Cacti: a Bijective Approach to the Cycle Factorization Problem [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 In this paper we construct a bijection for partitioned 3-cacti that gives raise to a new formula for enumeration of factorizations of the long cycle into three permutations with given number of cycles.
Gilles Schaeffer, Ekaterina Vassilieva
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eLife, 2016 Exploration of developmental mechanisms classically relies on analysis of pattern regularities. Whether disorders induced by biological noise may carry information on building principles of developmental systems is an important debated question. Here, we
Yassin Refahi +6 more
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Determinant of binary circulant matrices
Special Matrices, 2019 This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
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Systematic Codes for Rank Modulation [PDF]
, 2014 The goal of this paper is to construct systematic error-correcting codes for permutations and multi-permutations in the Kendall's $\tau$-metric. These codes are important in new applications such as rank modulation for flash memories. The construction is
Bruck, Jehoshua +3 more
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