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arXiv · 1010.4321

To Prove Four Color Theorem

Weiya Yue·Weiwei Cao
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Abstract

In this paper, we give a proof for four color theorem(four color conjecture). Our proof does not involve computer assistance and the most important is that it can be generalized to prove Hadwiger Conjecture. Moreover, we give algorithms to color and test planarity of planar graphs, which can be generalized to graphs containing $K_x(x>5)$ minor. There are four parts of this paper: Part-1: To Prove Four Color Theorem Part-2: An Equivalent Statement of Hadwiger Conjecture when $k=5$ Part-3: A New Proof of Wagner's Equivalence Theorem Part-4: A Geometric View of Outerplanar Graph

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Weiya Yue, Weiwei Cao. 2010-10-19. To Prove Four Color Theorem. https://arxiv.org/abs/1010.4321

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