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  • Minimizing the number of label transitions around a nonseparating vertex of a planar graph [Elektronski vir]
    Mohar, Bojan, 1956- ; Škoda, Petr
    We study the minimum number of label transitions around a given vertex ▫$v_0$▫ in a planar multigraph ▫$G$▫, in which the edges incident with ▫$v_0$▫ are labelled with integers ▫$1,\dots, l$▫, and ... the minimum is taken over all embeddings of ▫$G$▫ in the plane. For a fixed number of labels, a linear-time fixed-parameter tractable algorithm that computes the minimum number of label transitions around ▫$v_0$▫ is presented. If the number of labels is unconstrained, then the problem of deciding whether the minimum number of label transitions is at most ▫$k$▫ is NP-complete.ravninski grafi
    Type of material - e-article ; adult, serious
    Publish date - 2012
    Language - english
    COBISS.SI-ID - 17770329