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In the mathematical field of graph theory, the Nauru graph is a symmetric bipartite cubic graph with 24 vertices and 36 edges. It was named by David Eppstein after the twelve-pointed star in the flag of Nauru.
It has chromatic number 2, chromatic index 3, diameter 4, radius 4 and girth 6. It is also a 3-vertex-connected and 3-edge-connected graph. It has book thickness 3 and queue number 2.
The Nauru graph requires at least eight crossings in any drawing of it in the plane. It is one of five non-isomorphic graphs tied for being the smallest cubic graph that requires eight crossings. Another of these five graphs is the McGee graph, also known as the -cage.
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