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1.
On prime-valent symmetric bicirculants and Cayley snarks
Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2013, published scientific conference contribution

Found in: ključnih besedah
Summary of found: ...graph, Cayley graph, arc-transitive, snark, semiregular automorphism, bicirculant, ...
Keywords: graph, Cayley graph, arc-transitive, snark, semiregular automorphism, bicirculant
Published: 15.10.2013; Views: 1559; Downloads: 73
URL Full text (0,00 KB)

2.
Semiregular automorphisms of arc-transitive graphs
Gabriel Verret, 2013, published scientific conference contribution abstract

Found in: ključnih besedah
Summary of found: ... automorphism group, arc-transitive graph, semiregular automorphism, ...
Keywords: automorphism group, arc-transitive graph, semiregular automorphism
Published: 15.10.2013; Views: 1697; Downloads: 21
URL Full text (0,00 KB)
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3.
Classification of cubic symmetric tetracirculants and pentacirculants
Boštjan Frelih, Klavdija Kutnar, 2013, original scientific article

Found in: ključnih besedah
Summary of found: ...cubic graph, symmetric, semiregular automorphism, tetracirculant, pentacirculant, ...
Keywords: cubic graph, symmetric, semiregular automorphism, tetracirculant, pentacirculant
Published: 15.10.2013; Views: 1334; Downloads: 45
URL Full text (0,00 KB)

4.
Distance-transitive graphs admit semiregular automorphisms
Klavdija Kutnar, Primož Šparl, 2010, original scientific article

Abstract: A distance-transitive graph is a graph in which for every two ordered pairs ofvertices ▫$(u,v)$▫ and ▫$(u',v')$▫ such that the distance between ▫$u$▫ and ▫$v$▫ is equal to the distance between ▫$u'$▫ and ▫$v'$▫ there exists an automorphism of the graph mapping ▫$u$▫ to ▫$u'$▫ and ▫$v$▫ to ▫$v'$▫. A semiregular element of a permutation group is anon-identity element having all cycles of equal length in its cycle decomposition. It is shown that every distance-transitive graph admits a semiregular automorphism.
Found in: ključnih besedah
Summary of found: ...between ▫$u'$▫ and ▫$v'$▫ there exists an automorphism of the graph mapping ▫$u$▫ to ▫$u'$▫...
Keywords: distance-transitive graph, vertex-transitive graph, semiregular automorphism, permutation group
Published: 15.10.2013; Views: 1635; Downloads: 51
URL Full text (0,00 KB)

5.
Algebraični aspekti teorije grafov
Ademir Hujdurović, 2013, doctoral dissertation

Found in: ključnih besedah
Summary of found: ...circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley...
Keywords: circulant, bicirculant, semiregular automorphism, vertex-transitive graph, half-arc-transitive graph, snark, Cayley graph, quasi m-Cayley graph, generalized Cayley graph, I-regular action, regular cover of a graph, automorphism group
Published: 10.07.2015; Views: 1528; Downloads: 4
URL Full text (0,00 KB)

6.
Minimal normal subgroups of transitive permutation groups of square-free degree
Aleksander Malnič, Dragan Marušič, Edward Dobson, Lewis A. Nowitz, 2007, original scientific article

Abstract: It is shown that a minimal normal subgroup of a transitive permutation group of square-free degree in its induced action is simple and quasiprimitive, with three exceptions related to ▫$A_5$▫, ▫$A_7$▫, and PSL(2,29). Moreover, it is shown that a minimal normal subgroup of a 2-closed permutation group of square-free degree in its induced action is simple. As an almost immediate consequence, it follows that a 2-closed transitive permutation group of square-free degree contains a semiregular element of prime order, thus giving a partial affirmative answer to the conjecture that all 2-closed transitive permutation groups contain such an element (see [D. Marušic, On vertex symmetric digraphs,Discrete Math. 36 (1981) 69-81; P.J. Cameron (Ed.), Problems from the fifteenth British combinatorial conference, Discrete Math. 167/168 (1997) 605-615]).
Found in: ključnih besedah
Summary of found: ...permutation group of square-free degree contains a semiregular element of prime order, thus giving a... ...permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph...
Keywords: mathematics, graph theory, transitive permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph
Published: 03.04.2017; Views: 852; Downloads: 44
URL Full text (0,00 KB)

7.
Semiregular automorphisms of vertex-transitive graphs of certain valencies
Dragan Marušič, Edward Dobson, Aleksander Malnič, Lewis A. Nowitz, 2007, original scientific article

Abstract: It is shown that a vertex-transitive graph of valency ▫$p+1$▫, ▫$p$▫ a prime, admitting a transitive action of a ▫$\{2,p\}$▫-group, has a non-identity semiregular automorphism. As a consequence, it is proved that a quartic vertex-transitive graph has a non-identity semiregular automorphism, thus giving a partial affirmative answer to the conjecture that all vertex-transitive graphs have such an automorphism and, more generally, that all 2-closed transitive permutation groups contain such an element (see [D. Marušic, On vertex symmetric digraphs, Discrete Math. 36 (1981) 69-81; P.J. Cameron (Ed.), Problems from the Fifteenth British Combinatorial Conference, Discrete Math. 167/168 (1997) 605-615]).
Found in: ključnih besedah
Summary of found: ...of a ▫$\{2,p\}$▫-group, has a non-identity semiregular automorphism. As a consequence, it is proved that...
Keywords: mathematics, graph theory, transitive permutation group, 2-closed group, semiregular automorphism, vertex-transitive graph
Published: 03.04.2017; Views: 814; Downloads: 40
URL Full text (0,00 KB)

8.
Symmetric graphs: why semiregularity matters
Dragan Marušič, 2017, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: ...vertex-transitive, graph, semiregular automorphism, ...
Keywords: vertex-transitive, graph, semiregular automorphism
Published: 15.11.2017; Views: 475; Downloads: 4
URL Full text (0,00 KB)

9.
Symmetric graphs: why semiregularity matters
Dragan Marušič, 2018, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: ...vertex-transitive graph, semiregular automorphism, elusive group, solvable group...
Keywords: vertex-transitive graph, semiregular automorphism, elusive group, solvable group
Published: 07.02.2018; Views: 536; Downloads: 13
URL Full text (0,00 KB)

10.
Semiregular automorphisms in vertex-transitive graphs of order $3p^2$
Dragan Marušič, 2018, original scientific article

Found in: ključnih besedah
Summary of found: ...vertex-transitive graph, semiregular automorphism, polycirculant conjecture...
Keywords: vertex-transitive graph, semiregular automorphism, polycirculant conjecture
Published: 18.05.2018; Views: 391; Downloads: 19
URL Full text (0,00 KB)

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