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Permutations over cyclic groups [PDF]
European Journal of Combinatorics, 2012 Generalizing a result in the theory of finite fields we prove that, apart from a couple of exceptions that can be classified, for any elements $a_1,...,a_m$ of the cyclic group of order $m$, there is a permutation $\pi$ such that $1a_{\pi(1)}+...+ma_{\pi(
Nagy, Zoltán Lóránt
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A Cyclic Permutation Approach to Removing Spatial Dependency between Clustered Gene Ontology Terms [PDF]
BiologyTraditional gene set enrichment analysis falters when applied to large genomic domains, where neighboring genes often share functions. This spatial dependency creates misleading enrichments, mistaking mere physical proximity for genuine biological ...
Rachel Rapoport +3 more
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Permutation Polytopes of Cyclic Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices.
Barbara Baumeister +3 more
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Infinity-Norm Permutation Covering Codes from Cyclic Groups [PDF]
IEEE Transactions on Information Theory, 2017 We study covering codes of permutations with the $\ell_\infty$-metric. We provide a general code construction, which uses smaller building-block codes.
Karni, Ronen, Schwartz, Moshe
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Cyclic permutations: Degrees and combinatorial types [PDF]
Journal of Combinatorial Theory, Series A, 2021 This note will give an enumeration of $n$-cycles in the symmetric group ${\mathcal S}_n$ by their degree (also known as their cyclic descent number) and studies similar counting problems for the conjugacy classes of $n$-cycles under the action of the rotation subgroup of ${\mathcal S}_n$.
Saeed Zakeri
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On a problem of cyclic permutations of integers
Discrete Applied Mathematics, 1980 AbstractWe consider a problem of cyclic permutations of integers arising in the field of memory technologies for computer systems, and we solve it in the more general case of reals.
Roberto Dvornicich
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Cyclic permutations and evolutionary trees
Advances in Applied Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charles Semple, Mike Steel
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On Cyclic Schur-Positive Sets of Permutations [PDF]
The Electronic Journal of Combinatorics, 2020 We introduce a notion of cyclic Schur-positivity for sets of permutations, which naturally extends the classical notion of Schur-positivity, and it involves the existence of a bijection from permutations to standard Young tableaux that preserves the cyclic descent set.
Jonathan Bloom +2 more
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Dynamic Injection and Permutation Coding for Enhanced Data Transmission [PDF]
EntropyIn this paper, we propose a novel approach to enhance spectral efficiency in communication systems by dynamically adjusting the mapping between cyclic permutation coding (CPC) and its injected form.
Kehinde Ogunyanda +2 more
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Descents of $\lambda$-unimodal cyclic permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We prove an identity conjectured by Adin and Roichman involving the descent set of $\lambda$-unimodal cyclic permutations. These permutations appear in the character formulas for certain representations of the symmetric group and these formulas are ...
Kassie Archer
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