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Published in 2018 at "Graphs and Combinatorics"
DOI: 10.1007/s00373-018-1896-6
Abstract: A rectangular group is isomorphic to the direct product of a group, a left zero semigroup, and a right zero semigroup. Some special cases of rectangular groups consisting of left groups and right groups are…
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Keywords:
mathrm cay;
rectangular groups;
cayley;
cay cay ... See more keywords
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Published in 2019 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-019-00894-7
Abstract: A Cayley graph of a group H is a finite simple graph $$\Gamma $$ Γ such that $$\mathrm{Aut}(\Gamma )$$ Aut ( Γ ) contains a subgroup isomorphic to H acting regularly on $$V(\Gamma ),$$ V…
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Keywords:
graphs;
cayley;
whose haar;
graph ... See more keywords
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Published in 2021 at "Journal of Algebraic Combinatorics"
DOI: 10.1007/s10801-021-01080-4
Abstract: Let $$S_n$$ S n and $$A_{n}$$ A n denote the symmetric and alternating group on the set $$\{1,\ldots ,n\},$$ { 1 , … , n } , respectively. In this paper we are interested in…
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Keywords:
gamma;
lambda gamma;
cayley;
second largest ... See more keywords
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1
Published in 2017 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-016-1696-4
Abstract: We study the spherical model of a ferromagnet on a Cayley tree and show that in the case of empty boundary conditions a ferromagnetic phase transition takes place at the critical temperature $$T_\mathrm{c} =\frac{6\sqrt{2}}{5}J$$Tc=625J, where…
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Keywords:
temperature;
cayley;
spherical model;
frac ... See more keywords
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1
Published in 2018 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2018.02.010
Abstract: We study the projective variety CG parametrizing four dimensional subalgebras of the complex octonions, which we call the Cayley Grass-mannian. We prove that it is a spherical G2-variety with only three orbits that we describe…
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Keywords:
cayley;
cayley grassmannian;
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Published in 2019 at "Nanoscale"
DOI: 10.1039/c9nr07510k
Abstract: Using state-of-the-art electron-beam lithography, Ising-type nanomagnets may be defined onto nearly any two-dimensional pattern imaginable. The ability to directly observe magnetic configurations achieved in such artificial spin systems makes them a perfect playground for the…
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Keywords:
effective dimension;
cayley;
tree;
artificial spin ... See more keywords
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1
Published in 2021 at "Chinese Physics B"
DOI: 10.1088/1674-1056/abcfa1
Abstract: Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. The main problem we study in this paper is to determine whether the two-fold Cayley tree, an…
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Keywords:
quantum walk;
quantum;
state transfer;
cayley ... See more keywords
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1
Published in 2019 at "Mathematika"
DOI: 10.11113/matematika.v35.n3.1115
Abstract: Let G be a finite group and S be a subset of G where S does not include the identity of G and is inverse closed. A Cayley graph of a group G with respect…
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Keywords:
energy cayley;
energy;
cayley;
cayley graphs ... See more keywords
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1
Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s021949881750195x
Abstract: A Cayley graph Γ = Cay(G,S) is said to be core-free if G is core-free in some X for G ≤ X ≤AutΓ. A graph Γ is called s-regular if AutΓ acts regularly on its…
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Keywords:
cayley;
tetravalent regular;
cayley graphs;
regular cayley ... See more keywords
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2
Published in 2022 at "Algorithms"
DOI: 10.3390/a15010018
Abstract: In this paper, we consider the λ-model for an arbitrary-order Cayley tree that has a disordered phase. Such a phase corresponds to a splitting Gibbs measure with free boundary conditions. In communication theory, such a…
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Keywords:
cayley;
extremality disordered;
disordered phase;
phase model ... See more keywords
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1
Published in 2017 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1604-109
Abstract: A Cayley graph Γ = Cay(G,S) on a group G with respective to a subset S ⊆ G , S = S−1, 1 ̸∈ S , is said to be normal edge-transitive if NAut(Γ)(ρ(G)) is…
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Keywords:
normal edge;
edge transitive;
tetravalent normal;
cayley ... See more keywords