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  • Semisymmetry of generalized Folkman graphs
    Marušič, Dragan ; Potočnik, Primož, 1971-
    A regular edge- but not vertex-transitive graph is said to be semisymmetric. The study nof semisymmetric graphs was initiated by Folkman, who, among others, gave constructions of several infinite ... families such. In this paper a generalization of his construction for orders a multiple of 4 is proposed, giving rise to some new families of semisymmetric graphs. In particular, one associated with the cyclic group of order ▫$n$▫, ▫$n \ge 5$▫, which belongs to the class of tetracirculants, that is, graphs admitting an automorphism with precisely four orbits, all of same length. Semisymmetry properties of tetracirculants are investigated in greater detail, leading to a classification of all semisymmetric graphs of order ▫$4p$▫, ▫$p$▫ is a prime.
    Vir: Preprint series. - ISSN 1318-4865 (Vol. 38, [št.] 686, 2000, str. 1-31)
    Vrsta gradiva - članek, sestavni del
    Leto - 2000
    Jezik - angleški
    COBISS.SI-ID - 9490777

vir: Preprint series. - ISSN 1318-4865 (Vol. 38, [št.] 686, 2000, str. 1-31)

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