On Equivalent Color Transform and Four Coloring Theorem

نویسنده

  • Wenhong Tian
چکیده

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 Kk 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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عنوان ژورنال:
  • CoRR

دوره abs/1610.01865  شماره 

صفحات  -

تاریخ انتشار 2016