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Double-star snark
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Double-star snark : ウィキペディア英語版
Double-star snark

In the mathematical field of graph theory, the double-star snark is a snark with 30 vertices and 45 edges.
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). Isaacs also discovered one 30-vertex snark that does not belongs 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.
==Gallery==

Image:Double-star snark 3COL.svg|The chromatic number of the double-star snark is 3.
Image:Double-star snark 4color edge.svg|The chromatic index of the double-star snark is 4.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Double-star snark」の詳細全文を読む



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