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Explore the main themes, entities and connections around Four color theorem. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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History
37 related topics
Formulation
21 related topics
Generalizations
27 related topics
Three-coloring
5 related topics
Key facts & relationships
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Topics to explore
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Overview
- Mathematics
- Colors Color
- Map Map (graph theory)
- Theorem
- Computer-aided proof Computer-assisted proof
- Proof Mathematical proof
- Infeasible for a human to check by hand Non-surveyable proof
- Five color theorem
- Kenneth Appel
- Wolfgang Haken
- Georges Gonthier
- Theorem-proving software Proof assistant
Formulation
- Graph theory
- Four-colorable Graph coloring
- Planar Planar graph
- Loopless Loop (graph theory)
- Chromatic number
- Pie chart
- Exclaves Enclave and exclave
- Connected Connected space
- Open Open set
- Angola
- Cabinda Province
- Azerbaijan
- Nakhchivan Autonomous Republic
- Kaliningrad Oblast
- France
- Overseas territories Overseas France
- United States
- Alaska
- Undirected graph
- Vertex Vertex (graph theory)
- Edge Edge (graph theory)
History
- Francis Guthrie
- Frederick Frederick Guthrie (scientist)
- Augustus De Morgan
- University College London
- The Athenaeum Athenaeum (British magazine)
- ArthurCayley Arthur Cayley
- Appel & Haken 1989 Four color theorem
- Alfred Kempe
- Peter Guthrie Tait
- Percy Heawood
- Julius Petersen
- Genus Genus (mathematics)
- Snark Snark (graph theory)
- Hugo Hadwiger
- Hadwiger conjecture Hadwiger conjecture (graph theory)
- Heinrich Heesch
- Discharging Discharging method (discrete mathematics)
- University of Illinois University of Illinois at Urbana–Champaign
- John A. Koch John A. Koch?action=edit&redlink=1
- Triangulation Maximal planar graph
- Microfiche
- Dorothea Blostein
- University of Illinois
- Ian Stewart Ian Stewart (mathematician)
- H. S. M. Coxeter
- RWTH Aachen
- Mathematical Intelligencer
- Magnum opus Masterpiece
- Neil Robertson Neil Robertson (mathematician)
- Daniel P. Sanders
Summary of proof ideas
- Triangulated Triangulation (geometry)
- Euler's formula Euler characteristic
- Kempe chain
- Immersion Immersion (mathematics)
False disproofs
- The New York Times
- Transitive Transitive relation
Three-coloring
- NP-complete
- Complexity Computational complexity theory
- Cubic map Cubic graph
- Missouri
- Nevada
Generalizations
- Infinite graphs Infinite graph
- De Bruijn–Erdős theorem De Bruijn–Erdős theorem (graph theory)
- Kurt Gödel
- Compactness theorem
- First-order logic
- Sphere
- Cylinder
- Floor function
- Orientable
- Heawood conjecture
- P. J. Heawood
- Gerhard Ringel
- J. W. T. Youngs John William Theodore Youngs
- Klein bottle
- Philip Franklin
- Torus
- Sharp Glossary of mathematical jargon
- Toroidal polyhedra Toroidal polyhedron
- Szilassi polyhedron
- Möbius strip
- 1-planar graphs 1-planar graph
- Real projective plane
- Tietze's Heinrich Tietze
- Tietze's graph
- Petersen graph
- Earth–Moon problem
- Cuboids Cuboid
Relation to other areas of mathematics
- Dror Bar-Natan
- Lie algebras Lie algebra
- Vassiliev invariants Vassiliev invariant
Use outside of mathematics
- Coloring political maps of countries Map coloring
- Cartographers Cartographer
- Kenneth May
- Saint Martin Saint Martin (island)
Advanced semantic analysis
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Map overview Semantic statistics
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Four color theorem
Nodes125
Edges124
Triples48
Avg. degree1.98
Density0.016
Components1
How this topic connects Entity context
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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
Important terminology Word statistics
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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
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Four color theorem | related to External links | Four-colour | 0.60 | section |
| Four color theorem | related to External links | Encyclopedia | 0.60 | section |
| Four color theorem | related to External links | Mathematics | 0.60 | section |
| Four color theorem | related to External links | EMS Press | 0.60 | section |
| Four color theorem | related to External links | Wilson | 0.60 | section |
| Four color theorem | related to External links | Robin | 0.60 | section |
| Four color theorem | related to External links | March | 0.60 | section |
| Four color theorem | related to External links | The Four-Color Theorem | 0.60 | section |
| Four color theorem | related to External links | 0.60 | section | |
| Four color theorem | related to External links | Notices | 0.60 | section |
| Four color theorem | related to External links | American Mathematical Society | 0.60 | section |
| Four color theorem | related to External links | List | 0.60 | section |
No triples extracted yet.
Related concept clusters Concept neighborhoods
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Connections between topic areas Semantic bridges
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