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On Equivalent Color Transform and Four Coloring Theorem

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 نشر من قبل David Tian
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
والبحث باللغة English
 تأليف Wenhong Tian




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In this paper, we apply an equivalent color transform (ECT) for a minimal $k$-coloring of any graph $G$. It contracts each color class of the graph to a single vertex and produces a complete graph $K_k$ for $G$ by removing redundant edges between any two vertices. Based on ECT, a simple proof for four color theorem for planar graph is then proposed.



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