Map coloring and the vector cross product

DOI10.1016/0095-8956(90)90114-FzbMath0638.05025MaRDI QIDQ1099183

Louis H. Kauffman

Publication date: 1990

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

zbMATH Keywords

mapplane graphformationfour colour theoremimaginary valuevector cross product algebra

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Coloring of graphs and hypergraphs (05C15)

Related Items (14)

Generators and normal forms of Richard Thompson's group \(F\) and the four-color theorem ⋮ Lie algebras and the four color theorem ⋮ The 2-factor polynomial detects even perfect matchings ⋮ Transformation invariance in the combinatorial Nullstellensatz and nowhere-zero points of non-singular matrices ⋮ Toward a language theoretic proof of the four color theorem ⋮ Linear lambda terms as invariants of rooted trivalent maps ⋮ On a subposet of the Tamari lattice ⋮ One More Probabilistic Reformulation of the Four Colour Conjecture ⋮ Parity, Eulerian subgraphs and the Tutte polynomial ⋮ Some arithmetical restatements of the four color conjecture ⋮ An algebraic approach to the planar coloring problem ⋮ Signed diagonal flips and the four color theorem ⋮ COLORING PLANAR GRAPHS VIA COLORED PATHS IN THE ASSOCIAHEDRA ⋮ Reformulating the map color theorem

Cites Work

• Every planar map is four colorable. I: Discharging
• Every planar map is four colorable. II: Reducibility
• Thirteen Colorful Variations on Guthrie's Four-Color Conjecture
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