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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Cavity soliton in a cyclic polarization permutation fiber resonator.
Optics Express, 2022 Cavity solitons are shape-preserving waveforms infinitely revolving around a cavity, which have numerous applications from spectroscopy to telecommunications.
S. feng +10 more
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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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The linearisations of cyclic permutation have rational zeta functions [PDF]
Bulletin of the Australian Mathematical Society, 2000 Bau-Sen Du
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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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Periodic Patterns of Signed Shifts [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 The periodic patterns of a map are the permutations realized by the relative order of the points in its periodic orbits. We give a combinatorial description of the periodic patterns of an arbitrary signed shift, in terms of the structure of the descent ...
Kassie Archer, Sergi Elizalde
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The Crossing Numbers of Join Products of Paths and Cycles with Four Graphs of Order Five
Mathematics, 2021 The main aim of the paper is to establish the crossing numbers of the join products of the paths and the cycles on n vertices with a connected graph on five vertices isomorphic to the graph K1,1,3\e obtained by removing one edge e incident with some ...
Michal Staš
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On permutation-twisted free fermions and two conjectures [PDF]
, 2013 We conjecture that the category of permutation-twisted modules for a multi-fold tensor product vertex operator superalgebra and a cyclic permutation of even order is isomorphic to the category of parity-twisted modules for the underlying vertex operator ...
Katrina Barron, Nathan, Vander Werf
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Cyclic permutations for qudits in d dimensions [PDF]
Scientific Reports, 2019 AbstractOne of the main challenges in quantum technologies is the ability to control individual quantum systems. This task becomes increasingly difficult as the dimension of the system grows. Here we propose a general setup for cyclic permutations Xd in d dimensions, a major primitive for constructing arbitrary qudit gates.
Radu Ionicioiu +2 more
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Study of noise in virtual distillation circuits for quantum error mitigation [PDF]
QuantumVirtual distillation has been proposed as an error mitigation protocol for estimating the expectation values of observables in quantum algorithms. It proceeds by creating a cyclic permutation of $M$ noisy copies of a quantum state using a sequence of ...
Pontus Vikstål +2 more
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