Visitar URL original
Mathon Graph -- from Wolfram MathWorld
TOPICS
Search

Mathon Graph

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

The Mathon graphs are three strongly regular graphs on 784 vertices with strongly regular parameters as summarized in the following tables.

kgraph spectrumstrongly regular parameters
0(-9)^(540)19^(243)243^1(784,243,82,72)
1(-10)^(513)18^(270)270^1(784,270,98,90)
2(-11)^(486)17^(297)297^1(784,297,116,110)

These graphs are implemented in the Wolfram Language as GraphData[{"Mathon", k}] for k=0, 1, and 2.

See also

Strongly Regular Graph

Explore with Wolfram|Alpha

References

Brouwer, A. E. and van Lint, J. H. §6.D in "Strongly Regular Graphs and Partial Geometries." In Enumeration and Design (Waterloo, Ont., 1982). Toronto, Canada: Academic Press, pp. 85-122, 1984.Cohen, N. and Pasechnik, D. V. "Implementing Brouwer's Database of Strongly Regular Graphs." 20 Jul 2016. https://arxiv.org/abs/1601.00181.Hollmann, H. D. L. "Association Schemes." Master's thesis. Eindhoven, Netherlands: Eindhoven University of Technology, 1982.

Referenced on Wolfram|Alpha

Mathon Graph

Cite this as:

Weisstein, Eric W. "Mathon Graph." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/MathonGraph.html

Subject classifications