Results 21 to 30 of about 589,042 (217)

A classification of nilpotent $3$-BCI groups [PDF]

open access: yesInternational Journal of Group Theory, 2019
‎‎Given a finite group $G$ and a subset $Ssubseteq G,$ the bi-Cayley graph $bcay(G,S)$ is the graph whose vertex‎ ‎set is $G times {0,1}$ and edge set is‎ ‎${ {(x,0),(s x,1)}‎ : ‎x in G‎, ‎sin S }$‎.
Hiroki Koike, Istvan Kovacs
doaj   +1 more source

Roughness in Fuzzy Cayley Graphs

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Rough set theory is a worth noticing approach for inexact and uncertain system modelling. When rough set theory accompanies with fuzzy set theory, which both are a complementary generalization of set theory, they will be attended by potency in ...
M.H. Shahzamanian, B. Davvaz
doaj   +1 more source

Cayley automaton semigroups [PDF]

open access: yes, 2015
Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
core   +2 more sources

A note on $1$-factorizability of quartic supersolvable Cayley graphs [PDF]

open access: yesTransactions on Combinatorics, 2018
Alspach et al‎. ‎conjectured that every quartic Cayley graph on an even solvable group is $1$-factorizable‎. ‎In this paper‎, ‎we verify this conjecture for quartic Cayley graphs on supersolvable groups of even order‎.
Milad Ahanjideh, Ali Iranmanesh
doaj   +1 more source

On finite dual Cayley graphs

open access: yesOpen Mathematics, 2020
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj   +1 more source

The Artin monoid Cayley graph [PDF]

open access: yes
In this paper, we investigate properties of the Artin monoid Cayley graph. This is the Cayley graph of an Artin group A Γ with respect to the (infinite) generating set given by the associated Artin monoid A +/Γ.
Boyd, Rachael   +3 more
core   +6 more sources

Integral Cayley Graphs [PDF]

open access: yesAlgebra and Logic, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, W.   +3 more
openaire   +2 more sources

When is Cartesian product a Cayley graph? [PDF]

open access: yes, 2023
A graph is said to be a Cayley graph if its automorphism group admits a regular subgroup. Automorphisms of the Cartesian product of graphs are well understood, and it is known that Cartesian product of Cayley graphs is a Cayley graph.
Hujdurović, Ademir   +3 more
core  

A 2-arc Transitive Hexavalent Nonnormal Cayley Graph on A119

open access: yesMathematics, 2021
A Cayley graph Γ=Cay(G,S) is said to be normal if the base group G is normal in AutΓ. The concept of the normality of Cayley graphs was first proposed by M.Y.
Bo Ling, Wanting Li, Bengong Lou
doaj   +1 more source

On covers of graphs by Cayley graphs [PDF]

open access: yesEuropean Journal of Combinatorics, 2017
We prove that every vertex transitive, planar, 1-ended, graph covers every graph whose balls of radius r are isomorphic to the ball of radius r in G for a sufficiently large r. We ask whether this is a general property of finitely presented Cayley graphs, as well as further related questions.
openaire   +4 more sources

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