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15. Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes - the case PSL(2, q[sup]2) acting on cosets of PGL(2, q)Shao Fei Du, Klavdija Kutnar, Dragan Marušič, 2020, original scientific article Abstract: A step forward is made in a long standing Lovász problem regarding hamiltonicity of vertex-transitive graphs by showing that every connected vertex-transitive graph of order a product of two primes arising from the group action of the projective special linear group PSL▫$(2, q^2)$▫ on cosets of its subgroup isomorphic to the projective general linear group PGL$(2, q)$ contains a Hamilton cycle. Keywords: vertex-transitive graph, Hamilton cycle, automorphism group, orbital graph Published in RUP: 20.07.2020; Views: 1399; Downloads: 46 Full text (365,31 KB) |
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17. Chandgotia, Nishant, Pak, Igor, Tassy, Martin: Kirszbraun-type theorems for graphs. (English summary). - J. Combin. Theory Ser. B 137 (2019), 10-24Safet Penjić, 2020, review, book review, critique Keywords: G-Kirszbraun graphs, vertex-transitive graph, Kirszbraun theorem Published in RUP: 16.04.2020; Views: 1531; Downloads: 20 Link to full text |
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