PawełRz\ka\zewski

  1. Determining L(2,1)-Span in Polynomial Space.

    Authors: Konstanty Junosza-Szaniawski, PawełRz\ka\zewski
    Subjects: Discrete Mathematics
    Abstract

    A $k$-L(2,1)-labeling of a graph is a function from its vertex set into the
    set $\{0,...,k\}$, such that the labels assigned to adjacent vertices differ by
    at least 2, and labels assigned to vertices of distance 2 are different. It is
    known that finding the smallest $k$ admitting the existence of a
    $k$-L(2,1)-labeling of any given graph is NP-Complete.

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