Results 21 to 30 of about 589,042 (217)
A classification of nilpotent $3$-BCI groups [PDF]
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
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]
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]
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
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]
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
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]
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
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]
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

