Classification of Periodic Variable Stars with Novel Cyclic-Permutation Invariant Neural Networks [PDF]
We present Cyclic-Permutation Invariant Neural Networks, a novel class of neural networks (NNs) designed to be invariant to phase shifts of period-folded periodic sequences by means of ‘symmetry padding’.
Keming Zhang, J. Bloom
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Application of a permutation group on sasirangan pattern
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]
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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Cyclic permutations: Degrees and combinatorial types [PDF]
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 ${\mathcal S}_n$.
openaire +2 more sources
On the crossing numbers of join products of five graphs of order six with the discrete graph [PDF]
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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Periodic Patterns of Signed Shifts [PDF]
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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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [PDF]
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 Cyclic Schur-Positive Sets of Permutations [PDF]
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.
Bloom, Jonathan +2 more
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The Topological Entropy of Cyclic Permutation Maps and Some Chaotic Properties on Their MPE sets
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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On the crossing number of join product of the discrete graph with special graphs of order five
The main aim of the paper is to give the crossing number of join product G+Dn for the disconnected graph G of order five consisting of the complete graph K4 and of one isolated vertex.
Michal Staš
doaj +1 more source

