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Št. zadetkov: 9
Automorphism groups of wreath product digraphs
Edward Dobson, Joy Morris
Izvirni znanstveni članek
Oznake: wreath product digraph;automorphism group;
Automorphism groups of wreath product digraphs
Leto: 2009 Vir: Univerza na Primorskem (UP)
Quotients of CI-Groups are CI-Groups
Edward Dobson, Joy Morris
Izvirni znanstveni članek
Oznake: CI-group;Cayley graph;Quotient;
Quotients of CI-Groups are CI-Groups
Leto: 2015 Vir: Univerza na Primorskem (UP)
On colour-preserving automorphisms of Cayley graphs
Ademir Hujdurović, Klavdija Kutnar, Dave Witte Morris, Joy Morris
Izvirni znanstveni članek
Oznake: Cayley graph;automorphism;colour-preserving;colour-permuting;
We study the automorphisms of a Cayley graph that preserve its natural edge-colouring. More precisely, we are interested in groups ▫$G$▫, such that every such automorphism of every connected Cayley graph on ▫$G$▫ has a very simple form: the composition of a left-translation and a group automorphism. ...
Leto: 2016 Vir: Repozitorij Univerze na Primorskem (RUP)
Further restrictions on the structure of finite DCI-groups
Edward Dobson, Joy Morris, Pablo Spiga
Izvirni znanstveni članek
Oznake: Cayley graph;isomorphism problem;CI-group;dihedral group;
A finite group ▫$R$▫ is a DCI-group if, whenever ▫$S$▫ and ▫$T$▫ are subsets of ▫$R$▫ with the Cayley digraphs ▫${\mathrm {Cay}}(R, S)$▫ and▫ ${\mathrm{Cay}}(R, T)$▫ isomorphic, there exists an automorphism ▫$\varphi$▫ of ▫$R$▫ with ▫$S^\varphi = T$▫. The classification of DCI-groups is an open prob ...
Leto: 2015 Vir: Univerza na Primorskem (UP)
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret
Izvirni znanstveni članek
Oznake: Cayley digraphs;Cayley index;
Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Leto: 2020 Vir: Univerza na Primorskem (UP)
A finite simple group is CCA if and only if it has no element of order four
Luke Morgan, Joy Morris, Gabriel Verret
Izvirni znanstveni članek
Oznake: CCA problem;Cayley graphs;edge-colouring;
Leto: 2021 Vir: Univerza na Primorskem (UP)
Hamiltonian cycles in Cayley graphs whose order has few prime factors
Klavdija Kutnar, Dragan Marušič, D. W. Morris, Joy Morris, Primož Šparl
Izvirni znanstveni članek
Oznake: teorija grafov;Cayleyjevi grafi;hamiltonski cikli;graph theory;Cayley graphs;hamiltonian cycles;
We prove that if Cay▫$(G; S)$▫ is a connected Cayley graph with ▫$n$▫ vertices, and the prime factorization of ▫$n$▫ is very small, then Cay▫$(G; S)$▫ has a hamiltonian cycle. More precisely, if ▫$p$▫, ▫$q$▫, and ▫$r$▫ are distinct primes, then ▫$n$▫ can be of the form kp with ▫$24 \ne k < 32$▫, or ...
Leto: 2012 Vir: Univerza na Primorskem (UP)
On colour-preserving automorphisms of Cayley graphs
Klavdija Kutnar, Ademir Hujdurović, Edward Dobson, Dave Witte Morris, Joy Morris
Objavljeni povzetek znanstvenega prispevka na konferenci
Oznake: Cayley graph;automorphism;group;colouring;
On colour-preserving automorphisms of Cayley graphs
Leto: 2016 Vir: Univerza na Primorskem (UP)
Automorphism groups of circulant digraphs with applications to semigroup theory
Joao Araújo, Wolfram Bentz, Edward Dobson, Janusz Konieczny, Joy Morris
Izvirni znanstveni članek
Oznake: automorphism group;circulant digraph;semigroup;
Automorphism groups of circulant digraphs with applications to semigroup theory
Leto: 2018 Vir: Univerza na Primorskem (UP)
Št. zadetkov: 9
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