Szekeres snark
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| Szekeres snark | |
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The Szekeres snark
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| Named after | George Szekeres |
| Vertices | 50 |
| Edges | 75 |
| Radius | 6 |
| Diameter | 7 |
| Girth | 5 |
| Automorphisms | 20 |
| Chromatic number | 3 |
| Chromatic index | 4 |
| Properties | Snark Hypohamiltonian |
In the mathematical field of graph theory, the Szekeres snark is a snark with 50 vertices and 75 edges.[1] It was the fifth known snark, discovered by George Szekeres in 1973.[2]
As a snark, the Szekeres graph is a connected, bridgeless cubic graph with chromatic index equal to 4. The Szekeres snark is non-planar and non-hamiltonian but is hypohamiltonian.[3]
Another well known snark on 50 vertices is the Watkins snark discovered by John J. Watkins in 1989.[4]
Gallery
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Szekeres snark 3COL.svg
The chromatic number of the Szekeres snark is 3.
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Szekeres snark 4color edge.svg
The chromatic index of the Szekeres snark is 4.
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Szekeres-snark.svg
Alternative drawing of the Szekeres snark.
References
- ↑ Weisstein, Eric W., "Szekeres Snark", MathWorld.
- ↑ Lua error in package.lua at line 80: module 'strict' not found.
- ↑ Weisstein, Eric W., "Hypohamiltonian Graph", MathWorld.
- ↑ Watkins, J. J. "Snarks." Ann. New York Acad. Sci. 576, 606-622, 1989.
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