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Towards a brief proof of the Four-Color Theorem without using a computer: theorems to be used for proving the Four-Color Theorem

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Abstract

In order to prove the Four-Color Theorem (FCT) without using a computer, some basic definitions and theorems which will be useful for proving the FCT are presented, and a bird’s-eye view of a brief proof is described and discussed. A complete proof will appear in the near future.

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Authors and Affiliations

  1. Department of Biology, Faculty of Science, Niigata University, 8580 Ikarashi-2-no-cho, Nishi-ku, Niigata, 950-2181, Japan

    Koji Ohnishi

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  1. Koji Ohnishi
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Correspondence to Koji Ohnishi.

Additional information

This work was presented in part at the 14th International Symposium on Artificial Life and Robotics, Oita, Japan, February 5–7, 2009

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Ohnishi, K. Towards a brief proof of the Four-Color Theorem without using a computer: theorems to be used for proving the Four-Color Theorem. Artif Life Robotics 14, 551–556 (2009). https://doi.org/10.1007/s10015-009-0745-3

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  • DOI: https://doi.org/10.1007/s10015-009-0745-3

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