Five color theorem

Known as: Five colour theorem, Five-color map theorem

The five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the counties of a state…

Papers overview

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2015

With the help of Neutrosophy and Quad-stage Method, the proof for negation of “the four color theo-rem” is given. In which the…

2012

In this paper, we will define the necessary concepts to formulate map coloring problems. Then, we will prove Euler’s formula and…

2009

A formal proof has not been found for the four color theorem since 1852 when Francis Guthrie first conjectured the four color…

2002

Based on a representation of primitive proof objects as λ-terms, which has been built into the theorem prover Isabelle recently…

1981

1976

1975

Let f be a face of a plane graph G. The Three and Five Color Theorem proved here states that the vertices of G can be colored…