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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: 1381; Downloads: 46
Full text (365,31 KB)

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