Szekeres snark
Szekeres snark with 50 tops and 75 edges
Szekeres snark | |
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![]() The Szekeres snark | |
Named after | George Szekeres |
Vertices | 50 |
Edges | 75 |
Radius | 6 |
Diameter | 7 |
Girth | 5 |
Automorphisms | 20 |
Chromatic number | 3 |
Chromatic index | 4 |
Book thickness | 3 |
Queue number | 2 |
Properties | Snark Hypohamiltonian |
Table of graphs and parameters |
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] It has book thickness 3 and queue number 2.[4]
Another well known snark on 50 vertices is the Watkins snark discovered by John J. Watkins in 1989.[5]
Gallery
- The chromatic number of the Szekeres snark is 3.
- The chromatic index of the Szekeres snark is 4.
- Alternative drawing of the Szekeres snark.
References
- ^ Weisstein, Eric W. "Szekeres Snark". MathWorld.
- ^ Szekeres, G. (1973). "Polyhedral decompositions of cubic graphs". Bull. Austral. Math. Soc. 8 (3): 367–387. doi:10.1017/S0004972700042660.
- ^ Weisstein, Eric W. "Hypohamiltonian Graph". MathWorld.
- ^ Wolz, Jessica; Engineering Linear Layouts with SAT. Master Thesis, University of Tübingen, 2018
- ^ Watkins, J. J. "Snarks." Ann. New York Acad. Sci. 576, 606-622, 1989.
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