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Weak Dynamic Coloring of Planar Graphs

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 نشر من قبل Paul Wenger
 تاريخ النشر 2018
  مجال البحث
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The textit{$k$-weak-dynamic number} of a graph $G$ is the smallest number of colors we need to color the vertices of $G$ in such a way that each vertex $v$ of degree $d(v)$ sees at least $rm{min}{k,d(v)}$ colors on its neighborhood. We use reducible configurations and list coloring of graphs to prove that all planar graphs have 3-weak-dynamic number at most 6.



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