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  • ▫$1$▫-perfectly orientable graphs and graph products
    Hartinger, Tatiana Romina, 1987- ; Milanič, Martin, 1980-
    A graph ▫$G$▫ is said to be 1-perfectly orientable (1-p.o. for short) if it admits an orientation such that the out-neighborhood of every vertex is a clique in ▫$G$▫. The class of 1-p.o. graphs forms ... a common generalization of the classes of chordal and circular arc graphs. Even though 1-p.o. graphs can be recognized in polynomial time, no structural characterization of 1-p.o. graphs is known. In this paper we consider the four standard graph products: the Cartesian product, the strong product, the direct product, and the lexicographic product. For each of them, we characterize when a nontrivial product of two graphs is 1-p.o.
    Vir: Discrete mathematics. - ISSN 0012-365X (Vol. 340, iss. 7, 2017, str. 1727-1737)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2017
    Jezik - angleški
    COBISS.SI-ID - 1539009220

vir: Discrete mathematics. - ISSN 0012-365X (Vol. 340, iss. 7, 2017, str. 1727-1737)

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