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Automorphism groups of wreath product digraphs
Edward Dobson, Joy Morris, 2009, original scientific article

Found in: osebi
Keywords: wreath product digraph, automorphism group
Published: 15.10.2013; Views: 2067; Downloads: 6
URL Full text (0,00 KB)
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Hamiltonian cycles in Cayley graphs whose order has few prime factors
Klavdija Kutnar, Dragan Marušič, D. W. Morris, Joy Morris, Primož Šparl, 2012, original scientific article

Abstract: 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 of the form ▫$kpq$▫ with ▫$k \le 5$▫, or of the form ▫$pqr$▫, or of the form ▫$kp^2$▫ with ▫$k \le 4$▫, or of the form ▫$kp^3$▫ with ▫$k \le 2$▫.
Found in: osebi
Keywords: graph theory, Cayley graphs, hamiltonian cycles
Published: 15.10.2013; Views: 1534; Downloads: 57
URL Full text (0,00 KB)

Quotients of CI-Groups are CI-Groups
Edward Dobson, Joy Morris, 2015, original scientific article

Found in: osebi
Keywords: CI-group, Cayley graph, Quotient
Published: 03.04.2017; Views: 529; Downloads: 85
URL Full text (0,00 KB)

Further restrictions on the structure of finite DCI-groups
Edward Dobson, Joy Morris, Pablo Spiga, 2015, original scientific article

Found in: osebi
Keywords: isomorphism problem, CI-group, dihedral group, Cayley graph
Published: 08.08.2016; Views: 887; Downloads: 22
URL Full text (0,00 KB)

On colour-preserving automorphisms of Cayley graphs
Klavdija Kutnar, Ademir Hujdurović, Edward Dobson, Dave Witte Morris, Joy Morris, 2016, published scientific conference contribution abstract

Found in: osebi
Keywords: Cayley graph, automorphism, group, colouring
Published: 08.08.2016; Views: 950; Downloads: 43
URL Full text (0,00 KB)

Automorphism groups of circulant digraphs with applications to semigroup theory
Joao Araújo, Wolfram Bentz, Edward Dobson, Janusz Konieczny, Joy Morris, 2018, original scientific article

Found in: osebi
Keywords: automorphism group, circulant digraph, semigroup
Published: 08.05.2018; Views: 758; Downloads: 68
URL Full text (0,00 KB)

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