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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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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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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.
Ronen Karni, Moshe Schwartz
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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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Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions [PDF]
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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The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets [PDF]
Complexity, 2020 In this paper, we study some chaotic properties of s-dimensional dynamical system of the form Ψa1,a2,…,as=gsas,g1a1,…,gs−1as−1, where ak∈Hk for any k∈1,2,…,s, s≥2 is an integer, and Hk is a compact subinterval of the real line ℝ=−∞,+∞ for any k∈1,2,…,s ...
Risong Li, Tianxiu Lu
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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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Cyclic permutation-time symmetric structure with coupled gain-loss microcavities [PDF]
, 2015 We study the coupled even number of microcavities with the balanced gain and loss between any pair of their neighboring components. The effective non-Hermitian Hamiltonian for such structure has the cyclic permutation-time symmetry with respect to the ...
Bing He +3 more
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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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Analyzing random permutations for cyclic coordinate descent [PDF]
Mathematics of Computation, 2020 We consider coordinate descent methods on convex quadratic problems, in which exact line searches are performed at each iteration. (This algorithm is identical to Gauss-Seidel on the equivalent symmetric positive definite linear system.) We describe a class of convex quadratic problems for which the random-permutations version of cyclic coordinate ...
Stephen J. Wright, Ching-pei Lee
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