Results 21 to 30 of about 12,641,387 (374)
Theoretical guarantees for permutation-equivariant quantum neural networks [PDF]
npj Quantum Information, 2022 Despite the great promise of quantum machine learning models, there are several challenges one must overcome before unlocking their full potential. For instance, models based on quantum neural networks (QNNs) can suffer from excessive local minima and ...
Louis Schatzki +3 more
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Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
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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 Saxl graph of a permutation group [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2017 Let G be a permutation group on a set Ω. A subset of Ω is a base for G if its pointwise stabiliser in G is trivial. In this paper we introduce and study an associated graph Σ(G), which we call the Saxl graph of G. The vertices of Σ(G) are the points of Ω,
Timothy C. Burness, Michael Giudici
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Cubic Cayley graphs with small diameter. [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 In this paper we apply Polya's Theorem to the problem of enumerating Cayley graphs on permutation groups up to isomorphisms induced by conjugacy in the symmetric group.
Eugene Curtin
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Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]
Journal of Mahani Mathematical Research, 2023 We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
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A class of symmetric difference-closed sets related to commuting involutions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 To appear in Volume 19 of DMTCS.
John Campbell
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On the diameter of permutation groups [PDF]
Annals of Mathematics, 2014 42 pages. Minimal additions. Last version, to appear in Ann.
Helfgott, Harald Andrés, Seress, Ákos
openaire +4 more sources
Four-point functions and the permutation group S 4 [PDF]
, 2015 Four-point functions are at the heart of many interesting physical processes. A prime example is the light-by-light scattering amplitude, which plays an important role in the calculation of hadronic contributions to the anomalous magnetic moment of the ...
G. Eichmann, C. Fischer, Walter Heupel
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Quasi-permutation Representations of Borel and Parabolic Subgroups of Steinberg's triality groups [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2009 If G is a finite linear group of degree n, that is, a finite group of automor-phisms of an n-dimensional complex vector space, or equivalently, a finite group of non-singular matrices of order n with complex coefficients, we shall say that G is a quasi ...
M. Ghorbany
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