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11.
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 graph, quasi...
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: 1568; Downloads: 4
URL Full text (0,00 KB)

12.
13.
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: Zadetek v naslovu
Keywords: mathematics, graph theory, transitive permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph
Published: 03.04.2017; Views: 891; Downloads: 50
URL Full text (0,00 KB)

14.
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: Zadetek v naslovu
Keywords: mathematics, graph theory, transitive permutation group, 2-closed group, semiregular automorphism, vertex-transitive graph
Published: 03.04.2017; Views: 850; Downloads: 44
URL Full text (0,00 KB)

15.
Določeni razredi (hiper)grafov in njihove algebraične lastnosti
Paweł Petecki, 2016, doctoral dissertation

Found in: ključnih besedah
Summary of found: ...decomposition, double generalized Petersen graph, automorphism group, vertex-transitive, sign graph, L-eigenvalue, lollipop graph, ...
Keywords: hypergraph, hamiltonian cycle, decomposition, double generalized Petersen graph, automorphism group, vertex-transitive, sign graph, L-eigenvalue, lollipop graph
Published: 09.08.2016; Views: 1425; Downloads: 3
URL Full text (0,00 KB)

16.
Symmetry of graphs via even/odd automorphisms
Dragan Marušič, Klavdija Kutnar, 2016, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: ...vertex-transitive, graph, odd automorphism, automorphism group, ...
Keywords: vertex-transitive, graph, odd automorphism, automorphism group
Published: 08.08.2016; Views: 810; Downloads: 8
URL Full text (0,00 KB)

17.
Odd automorphism in vertex-transitive graphs
Klavdija Kutnar, Ademir Hujdurović, Dragan Marušič, 2016, published scientific conference contribution abstract

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: vertex-transitive, graph, odd automorphism, even-closed
Published: 08.08.2016; Views: 970; Downloads: 3
URL Full text (0,00 KB)

18.
Vertex-transitive graphs
Dragan Marušič, 2016, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: vertex-transitive, graph, semiregular
Published: 08.08.2016; Views: 793; Downloads: 7
URL Full text (0,00 KB)

19.
Odd automorphisms in vertex-transitive graphs
Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič, 2016, original scientific article

Abstract: Avtomorfizem grafa se imenuje sod/lih, če deluje na množici vozlišč kot soda/liha permutacija. V tem članku zastavimo problem določitve tistih točkovno-tranzitivnih grafov, ki premorejo lihe avtomorfizme. Predstavimo delne rezultate za določene razrede točkovno-tranzitivnih grafov, med drugim za Cayleyjeve grafe. Kot posledico teh rezultatov dobimo karakterizacijo ločno-tranzitivnih cirkulantov brez lihih avtomorfizmov.
Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: graph, vertex-transitive, automorphism group, even permutation, odd permutation
Published: 15.11.2017; Views: 591; Downloads: 44
URL Full text (0,00 KB)

20.
Vertex-transitive odd numbers
Klavdija Kutnar, Ademir Hujdurović, Dragan Marušič, 2017, published scientific conference contribution abstract (invited lecture)

Found in: ključnih besedah
Summary of found: Zadetek v naslovu
Keywords: odd automorphism, even-closed, vertex-transitive, graph
Published: 15.11.2017; Views: 372; Downloads: 5
URL Full text (0,00 KB)

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