Akademska digitalna zbirka SLovenije - logo
VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
PDF
  • The inverse Voronoi problem in graphs. I, Hardness
    Bonnet, Édouard ...
    We introduce the inverse Voronoi diagram problem in graphs: given a graph ▫$G$▫ with positive edge-lengths and a collection ▫$\mathbb{U}$▫ of subsets of vertices of ▫$V(G)$▫, decide whether ... ▫$\mathbb{U}$▫ is a Voronoi diagram in ▫$G$▫ with respect to the shortest-path metric. We show that the problem is NP-hard, even for planar graphs where all the edges have unit length. We also study the parameterized complexity of the problem and show that the problem is W[1]-hard when parameterized by the number of Voronoi cells or by the pathwidth of the graph.
    Vir: Algorithmica. - ISSN 0178-4617 (Vol. 82, iss. 10, Oct. 2020, str. 3018-3040)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 20843267

vir: Algorithmica. - ISSN 0178-4617 (Vol. 82, iss. 10, Oct. 2020, str. 3018-3040)
loading ...
loading ...
loading ...