List-Coloring Squares of Sparse Subcubic Graphs

  • Authors:
  • Zdeněk Dvořák;Riste Škrekovski;Martin Tancer

  • Affiliations:
  • -;-;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2008

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Abstract

The problem of coloring the square of a graph naturally arises in connection with the distance labelings, which have been studied intensively. We consider this problem for sparse subcubic graphs. We show that the choosability $\chi_\ell(G^2)$ of the square of a subcubic graph $G$ of maximum average degree $d$ is at most four if $d