This chapter describes a recursion formula of the chromatic polynomial of a maximal planar graph, which is different from that of edge contraction. Based on this, two ideas for proving the Four Color Conjecture are proposed (Xu, J. Electron. Inf. Technol. 38(4), 33–40 (2016)).

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Recursion Formulae of Chromatic Polynomial and Four-Color Conjecture

  • Jin Xu

摘要

This chapter describes a recursion formula of the chromatic polynomial of a maximal planar graph, which is different from that of edge contraction. Based on this, two ideas for proving the Four Color Conjecture are proposed (Xu, J. Electron. Inf. Technol. 38(4), 33–40 (2016)).