A generalized octagon is a generalized
polygon of order 8.
is the -cage graph , the incidence graph of the Cremona-Richmond
configuration , the cubic vertex-transitive
graph Ct63, the cubic symmetric graph , and is also sometimes known
as the Tutte 8-cage.
is the line graph of the Tutte
8-cage .
The following table summarizes some generalized octagons.
graph name other names graph spectrum GO(1, 2) 30 Tutte
8-cage GO(1,
3) 80 (4, 8)-cage
graph GO(1, 4) 180 (5, 8)-cage
graph GO(1, 8) 1170 (9,
8)-cage graph GO(2, 1) 45 flag graph of GO(3,
1) 160 GO(4, 1) 425
See also Generalized Dodecagon ,
Generalized Hexagon ,
Generalized
Polygon ,
Generalized Quadrangle
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References Brouwer, A. E.; Cohen, A. M.; and Neumaier, A. Distance-Regular
Graphs. New York: Springer-Verlag, p. 204, 1989. van Dam,
E. R. and Haemers, W. H. "Which Graphs Are Determined by Their Spectrum?"
Lin. Algebra Appl. 373 , 139-162, 2003. Referenced on Wolfram|Alpha Generalized Octagon
Cite this as:
Weisstein, Eric W. "Generalized Octagon."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/GeneralizedOctagon.html
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