Английская Википедия:Double-star snark
In the mathematical field of graph theory, the double-star snark is a snark with 30 vertices and 45 edges.[1]
In 1975, Rufus Isaacs introduced two infinite families of snarks—the flower snark and the BDS snark, a family that includes the two Blanuša snarks, the Descartes snark and the Szekeres snark (BDS stands for Blanuša Descartes Szekeres).[2] Isaacs also discovered one 30-vertex snark that does not belong to the BDS family and that is not a flower snark — the double-star snark.
As a snark, the double-star graph is a connected, bridgeless cubic graph with chromatic index equal to 4. The double-star snark is non-planar and non-hamiltonian but is hypohamiltonian.[3] It has book thickness 3 and queue number 2.[4]
Gallery
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The chromatic number of the double-star snark is 3.
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The chromatic index of the double-star snark is 4.
References
- ↑ Шаблон:MathWorld
- ↑ Шаблон:Citation
- ↑ Шаблон:MathWorld
- ↑ Wolz, Jessica; Engineering Linear Layouts with SAT. Master Thesis, University of Tübingen, 2018
