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3. Imprimitive permutations in primitive groupsJoao Araújo, J. P. Araújo, Peter J. Cameron, Edward Dobson, A. Hulpke, P. Lopes, 2017, original scientific article Keywords: primitive groups, imprimitive groups, GAP, permutation type Published in RUP: 21.02.2018; Views: 2961; Downloads: 251 Link to full text This document has more files! More... |
4. Recent trends and future directions in vertex-transitive graphsKlavdija Kutnar, Dragan Marušič, 2008, original scientific article Abstract: A graph is said to be vertex-transitive if its automorphism group acts transitively on the vertex set. Some recent developments and possible future directions regarding two famous open problems, asking about existence of Hamilton paths and existence of semiregular automorphisms in vertex-transitive graphs, are discussed, together with some recent results on arc-transitive graphs and half-arc-transitive graphs, two special classes of vertex-transitive graphs that have received particular attention over the last decade. Keywords: vertex-transitive graph, arc-transitive graph, half-arc-transitive graph, Hamilton cycle, Hamilton path, semiregular group, (im)primitive group Published in RUP: 15.10.2013; Views: 3161; Downloads: 132 Full text (183,49 KB) |
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