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Distributional Chaos and Sensitivity for a Class of Cyclic Permutation Maps
Mathematics, 2023 Several chaotic properties of cyclic permutation maps are considered. Cyclic permutation maps refer to p-dimensional dynamical systems of the form φ(b1,b2,⋯,bp)=(up(bp),u1(b1),⋯,up−1(bp−1)), where bj∈Hj (j∈{1,2,⋯,p}), p≥2 is an integer, and Hj (j∈{1,2 ...
Yu Zhao +4 more
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$C_2$-cofiniteness of 2-cyclic permutation orbifold models [PDF]
Communications in Mathematical Physics, 2011 In this article, we consider permutation orbifold models of $C_2$-cofinite vertex operator algebras of CFT type. We show the $C_2$-cofiniteness of the 2-cyclic permutation orbifold model $(V\otimes V)^{S_2}$ for an arbitrary $C_2$-cofinite simple vertex ...
A. Klemm +14 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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Graphical cyclic permutation groups [PDF]
Discrete Mathematics, 2012 We establish conditions for a permutation group generated by a single permutation of a prime power order to be an automorphism group of a graph or an edge-colored graph.
Mariusz Grech
semanticscholar +6 more sources
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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Cyclic Permutations in Determining Crossing Numbers
Discussiones Mathematicae Graph Theory, 2022 The crossing number of a graph G is the minimum number of edge crossings over all drawings of G in the plane. Recently, the crossing numbers of join products of two graphs have been studied.
Klešč Marián, Staš Michal
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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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Boundary Value Problems, 2020 In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus ...
Mohammed M. Matar +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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