Coloring Problems on Bipartite Graphs of Small Diameter

  title={Coloring Problems on Bipartite Graphs of Small Diameter},
  author={Victor A. Campos and Guilherme Gomes and Allen Ibiapina and Raul Lopes and Ignasi Sau and Ana Silva},
  journal={Electron. J. Comb.},
We investigate a number of coloring problems restricted to bipartite graphs with bounded diameter. First, we investigate the $k$-List Coloring, $k$-Coloring, and $k$-Precoloring Extension problems on bipartite graphs with diameter at most $d$, proving $\textsf{NP}$-completeness in most cases, and leaving open only the List $3$-Coloring and $3$-Precoloring Extension problems when $d=3$. Some of these results are obtained $\textsc{through}$ a proof that the Surjective $C_6$-Homomorphism problem… 
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