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 ...
Tianxiu Lu, Risong Li
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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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Signed graphs and signed cycles of hyperoctahedral groups
Electronic Journal of Graph Theory and Applications, 2023 For a graph with edge ordering, a linear order on the edge set, we obtain a permutation of vertices by considering the edges as transpositions of endvertices.
Ryo Uchiumi
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The crossing numbers of join products of paths with three graphs of order five [PDF]
Opuscula Mathematica, 2022 The main aim of this paper is to give the crossing number of the join product \(G^\ast+P_n\) for the disconnected graph \(G^\ast\) of order five consisting of the complete graph \(K_4\) and one isolated vertex, where \(P_n\) is the path on \(n\) vertices.
Michal Staš, Mária Švecová
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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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Application of a permutation group on sasirangan pattern
Desimal, 2021 A permutation group is a group of all permutations of some set. If the set that forms a permutation group is the n-first of natural number, then a permutation group is called a symmetry group.
Na'imah Hijriati +3 more
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On the crossing numbers of join products of W_{4}+P_{n} and W_{4}+C_{n} [PDF]
Opuscula Mathematica, 2021 The crossing number \(\mathrm{cr}(G)\) of a graph \(G\) is the minimum number of edge crossings over all drawings of \(G\) in the plane. The main aim of the paper is to give the crossing number of the join product \(W_4+P_n\) and \(W_4+C_n\) for the ...
Michal Staš, Juraj Valiska
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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [PDF]
International Journal of Group Theory, 2022 For a finite group $G$, three of the positive integers governing its representation theory over $\mathbb{C}$ and over $\mathbb{Q}$ are $p(G),q(G),c(G)$.
Soham Pradhan, B. Sury
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On the crossing numbers of join products of five graphs of order six with the discrete graph [PDF]
Opuscula Mathematica, 2020 The main purpose of this article is broaden known results concerning crossing numbers for join of graphs of order six. We give the crossing number of the join product \(G^{\ast} + D_n\), where the disconnected graph \(G^{\ast}\) of order six consists of ...
Michal Staš
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The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets
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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