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  • The diameter of strong orientations of Cartesian products of graphs
    Špacapan, Simon
    Let ▫$G$▫ and ▫$H$▫ be graphs, and ▫$G \square H$▫ the Cartesian product of ▫$G$▫ and ▫$H$▫. We prove that for every connected bridgeless graphs ▫$G$▫ and ▫$H$▫, the Cartesian product ▫$G \square H$▫ ... admits an orientation of diameter at most ▫$\operatorname{wdiam}_{\min}(G) + \operatorname{wdiam}_{\min}(H) + 8$▫, where ▫$\operatorname{wdiam}_{\min}(G)$▫ denotes the minimum weak diameter of an orientation of ▫$G$▫. Orientations of products of graphs that have bridges are considered as well, and an upper bound for the minimum diameter of such orientations is given.
    Source: Discrete applied mathematics. - ISSN 0166-218X (Vol. 247, Oct. 2018, str. 116-121)
    Type of material - article, component part
    Publish date - 2018
    Language - english
    COBISS.SI-ID - 18435673