The Hadwiger–Nelson Problem

Alexander Soifer ()
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Alexander Soifer: University of Colorado

A chapter in Open Problems in Mathematics, 2016, pp 439-457 from Springer

Abstract: Abstract Inspired by the Four-Color Conjecture, the Hadwiger–Nelson Problem became one of the famous open problems of mathematics in its own rights. It has withstood all assaults for 65 years, and attracted many mathematicians from many fields, including Paul Erdős and Ronald L. Graham. John F. Nash admired this problem and chose it for the present book. In this chapter we will discuss this problem, its history and generalizations, several of the many related open problems, and the state of the art results.

Keywords: Chromatic Number; Cardinal Number; Infinite Graph; Strong Limit Cardinal; Related Open Problem (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-32162-2_14

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DOI: 10.1007/978-3-319-32162-2_14

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