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Št. zadetkov: 5
Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs
Primož Potočnik, Pablo Spiga, Gabriel Verret
Izvirni znanstveni članek
Oznake: valenca 3;valenca 4;točkovna tranzitivnost;ločna tranzitivnost;lokalno-diedrski;valency 3;valency 4;vertex-transitive;arc-transitive;locally-dihedral;
Slavni Tuttov izrek pravi, da je red vozliščnega stabilizatorja v povezanem 3-valentnem ločno-tranzitivnem grafu ne preseže vrednosti 48. Dolgo je bilo znano, da ta izrek ne velja v širšem kontekstu povezanih 3-valentnih vozliščno-tranzitivnih grafov. Znanih je bilo več družin takšnih grafov, v kate ...
Leto: 2015 Vir: Univerza na Primorskem (UP)
On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs
Luke Morgan, Pablo Spiga, Gabriel Verret
Izvirni znanstveni članek
Oznake: locally-restrictive;locally-transitive graph;semiprimitive;group amalgams;
A permutation group is called semiprimitive if each of its normal subgroups is either transitive or semiregular. Given nontrivial finite transitive permutation groups ▫$L_1$▫ and ▫$L_2$▫ with ▫$L_1$▫ not semiprimitive, we construct an infinite family of rank two amalgams of permutation type ▫$[L_1, ...
Leto: 2015 Vir: Univerza na Primorskem (UP)
Cayley graphs on abelian groups
Edward Dobson, Pablo Spiga, Gabriel Verret
Izvirni znanstveni članek
Oznake: Cayley digraph;abelian groups;inverse-closed subsets;automorphisms;
Let ▫$A$▫ be an abelian group and let $\iota$ be the automorphism of ▫$A$▫ defined by: ▫$\iota \colon a \mapsto a^{-1}$▫. A Cayley graph ▫$\Gamma = \rm{Cay}(A,S)$▫ is said to have an automorphism group as small as possible if ▫$\rm{Aut}(\Gamma) = A \rtimes \langle \iota \rangle$▫. In this paper, we ...
Leto: 2016 Vir: Univerza na Primorskem (UP)
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)
A census of 4-valent half-arc-transitive graphs and arc-transitive digraphs of valence two
Primož Potočnik, Pablo Spiga, Gabriel Verret
Izvirni znanstveni članek
Oznake: graphs;digraphs;edge-transitive;vertex-transitive;arc-transitive;half arc-transitive;
A complete list of all connected arc-transitive asymmetric digraphs of in-valence and out-valence 2 on up to 1000 vertices is presented. As a byproduct, a complete list of all connected 4-valent graphs admitting a half-arc-transitive group of automorphisms on up to 1000 vertices is obtained. Several ...
Leto: 2015 Vir: Repozitorij Univerze na Primorskem (RUP)
Št. zadetkov: 5
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