1. Classification of cubic symmetric tricirculantsIstván Kovács, Klavdija Kutnar, Dragan Marušič, Stephen Wilson, 2012, original scientific article Found in: ključnih besedah Summary of found: ...symmetric graph, semiregular, tricirculant, ... Keywords: symmetric graph, semiregular, tricirculant Published: 15.10.2013; Views: 1627; Downloads: 26 Full text (0,00 KB) |
2. On prime-valent symmetric bicirculants and Cayley snarksAdemir 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: 1631; Downloads: 81 Full text (0,00 KB) |
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4. Classification of cubic symmetric tetracirculants and pentacirculantsBoštjan 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: 1445; Downloads: 53 Full text (0,00 KB) |
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6. Algebraični aspekti teorije grafovAdemir 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: 1593; Downloads: 4 Full text (0,00 KB) |
7. Minimal normal subgroups of transitive permutation groups of square-free degreeAleksander 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... Keywords: mathematics, graph theory, transitive permutation group, 2-closed group, square-free degree, semiregular automorphism, vertex-transitive graph Published: 03.04.2017; Views: 915; Downloads: 53 Full text (0,00 KB) |
8. Semiregular automorphisms of vertex-transitive graphs of certain valenciesDragan 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: 875; Downloads: 47 Full text (0,00 KB) |
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