Descartes snark
Appearance
Descartes snark | |
---|---|
Named after | Blanche Descartes |
Vertices | 210 |
Edges | 315 |
Girth | 5 |
Chromatic index | 4 |
Properties | Cubic Snark |
Table of graphs and parameters |
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
- ^ Descartes, Blanche. "Network Colorings," The Mathematical Gazette (London, 32:299. p. 67–69, 1948.