Planar graphs | Individual graphs

Golomb graph

In graph theory, the Golomb graph is a polyhedral graph with 10 vertices and 18 edges. It is named after Solomon W. Golomb, who constructed it (with a non-planar embedding) as a unit distance graph that requires four colors in any graph coloring. Thus, like the simpler Moser spindle, it provides a lower bound for the Hadwiger–Nelson problem: coloring the points of the Euclidean plane so that each unit line segment has differently-colored endpoints requires at least four colors. (Wikipedia).

Golomb graph
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Related pages

Graph theory | Fractional chromatic number | Hadwiger–Nelson problem | Petersen graph | Line segment | Generalized Petersen graph | Moser spindle | Quadratic field | Vertex (graph theory) | Planar graph | Solomon W. Golomb | Unit distance graph | Euclidean plane | Polyhedral graph | Graph coloring