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Four color theorem

In mathematics, the four color theorem, or the four-color map theorem, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. Adjacent means that two regions share a common boundary of non-zero length (i.e., not merely a corner where three or more regions meet). It was the…

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Overview

Formulation

History

Summary of proof ideas

False disproofs

Three-coloring

Generalizations

Relation to other areas of mathematics

Use outside of mathematics

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Four color theorem

Nodes125
Edges124
Triples48
Avg. degree1.98
Density0.016
Components1

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Four color theorem

Top relations

related to External links · 13
Four color theorem → American Mathematical Society, EMS Press, Encyclopedia, Four-colour, List, March, Mathematics, MathOverflow, Notices, PDF, Robin, The Four-Color Theorem, Wilson
related to False disproofs · 12
Four color theorem → Appel, At, Because, But, Generally, Haken, Kempe's, Some, Tait's, The, The New York Times, This
related to Summary of proof ideas · 10
Four color theorem → Although, Appel, Every Planar Map, First, Four Colorable, Haken, If, Kempe's, So, The
related to Infinite graphs · 7
Four color theorem → De Bruijn, Erdős, Kurt Gödel's, Nash-Williams, The, This, To
related to Formulation · 3
Four color theorem → For, In, The
related to Relation to other areas of mathematics · 3
Four color theorem → Dror Bar-Natan, Lie, Vassiliev

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Important terminology

theorem colors proof four color regions one graph map vertex number planar vertices two colored appel set configurations also every

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Four color theoremrelated to External linksFour-colour0.60section
Four color theoremrelated to External linksEncyclopedia0.60section
Four color theoremrelated to External linksMathematics0.60section
Four color theoremrelated to External linksEMS Press0.60section
Four color theoremrelated to External linksWilson0.60section
Four color theoremrelated to External linksRobin0.60section
Four color theoremrelated to External linksMarch0.60section
Four color theoremrelated to External linksThe Four-Color Theorem0.60section
Four color theoremrelated to External linksPDF0.60section
Four color theoremrelated to External linksNotices0.60section
Four color theoremrelated to External linksAmerican Mathematical Society0.60section
Four color theoremrelated to External linksList0.60section

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