Foster cage
In the mathematical field of graph theory, the Foster cage is a 5-regular undirected graph with 30 vertices and 75 edges.[1][2] It is one of the four (5,5)-cage graphs, the others being the Meringer graph, the Robertson–Wegner graph, and the Wong graph.
Foster cage | |
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Named after | Ronald Martin Foster |
Vertices | 30 |
Edges | 75 |
Radius | 3 |
Diameter | 3 |
Girth | 5 |
Automorphisms | 30 |
Chromatic number | 4 |
Chromatic index | 5 |
Properties | Cage |
Table of graphs and parameters |
Like the unrelated Foster graph, it is named after R. M. Foster.
It has chromatic number 4, diameter 3, and is 5-vertex-connected.
References
- Weisstein, Eric W. "Foster Cage". MathWorld.
- Meringer, Markus (1999), "Fast generation of regular graphs and construction of cages", Journal of Graph Theory, 30 (2): 137–146, doi:10.1002/(SICI)1097-0118(199902)30:2<137::AID-JGT7>3.0.CO;2-G, MR 1665972.
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