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词条 Descartes snark
释义

  1. Notes

{{Infobox graph
| name = Descartes snark
| image =
| image_caption = Image of a Descartes snark.
| namesake = Blanche Descartes
| vertices = 210
| edges = 315
| girth = 5
| chromatic_index = 4
| properties = Cubic
Snark
}}

In the mathematical field of graph theory, a Descartes snark is an undirected graph with 210 vertices and 315 edges. It is a snark, first discovered by William Tutte in 1948 under the pseudonym Blanche Descartes.[1]

A Descartes snark is obtained from the Petersen graph by replacing each vertex with a nonagon and each edge with a particular graph closely related to the Petersen graph. Because there are multiple ways to perform this procedure, there are multiple Descartes snarks.

Notes

1. ^Descartes, Blanche. "[https://www.jstor.org/pss/3610702 Network Colorings]," The Mathematical Gazette (London, 32:299. p. 67–69, 1948.

1 : Graph families

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