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)Du, Shao Fei (Avtor) Kutnar, Klavdija (Avtor) Marušič, Dragan (Avtor) vertex-transitive graphHamilton cycleautomorphism grouporbital graphA 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.20202020-07-20 08:04:01Neznano12845sl