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Hypohamiltonian snarks

Last update: 20 Dec 2018  | Contains: 42285 graphs

A snark is a connected bridgeless cubic graph (i.e., a biconnected cubic graph) with edge chromatic number of four (i.e. it cannot be properly edge-coloured using 3 colours). Snark is hypohamiltonian if it does not itself have a Hamiltonian cycle but every graph formed by removing a single vertex from it is Hamiltonian. The following collection was calculated by the House of Graphs (source) and lists all hypohamiltonian snarks on up to 36 vertices.

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