TOPICS
Search

Conway Graphs

The name "Conway graph" is used for a number of graphs associated with J. H. Conway.

The first is the unique rank-3 strongly regular graph with parameters (nu,k,lambda,mu)=(1408,567,246,216) with graph spectrum 567^139^(252)(-9)^(1155) (Brouwer and van Maldeghem 2022, p. 359).

A second is the unique rank-3 strongly regular graph with parameters (nu,k,lambda,mu)=(2300,891,378,324) and graph spectrum 891^163^(275)(-9)^(2024). This graph may be constructed in the Leech lattice (Brouwer and van Maldeghem 2022, pp. 365-366).

Explore with Wolfram|Alpha

References

Brouwer, A. E. and van Maldeghem, H. "The Conway Graph of 1408 Vertices" and "The Conway Graph on 2300 Vertices." §10.81 and 10.88 in Strongly Regular Graphs. Cambridge, England: Cambridge University Press, pp. 359 and 365-366, 2022.DistanceRegular.org. Conway Graphs. 1408 vertices and 2300 vertices.

Referenced on Wolfram|Alpha

Conway Graphs

Cite this as:

Weisstein, Eric W. "Conway Graphs." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ConwayGraphs.html

Subject classifications