The fractional chromatic number of the plane

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The fractional chromatic number of the plane

The chromatic number of the plane is the chromatic number of the uncountably infinite graph that has as its vertices the points of the plane and has an edge between two points if their distance is 1. This chromatic number is denoted χ(R). The problem was introduced in 1950, and shortly thereafter it was proved that 4 ≤ χ(R) ≤ 7. These bounds are both easy to prove, but after more than 60 years ...

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ژورنال

عنوان ژورنال: Combinatorica

سال: 2016

ISSN: 0209-9683,1439-6912

DOI: 10.1007/s00493-016-3380-3