TOPICS

# Octic Graph

An octic graph is a regular graph of degree eight. The numbers of simple octic graphs on , 10, 11, ... nodes are 1, 6, 94, 10786, 3459386, ... (OEIS A014378). Examples are illustrated above and summarized in the following table.

 graph complete graph 9 cocktail party graph 10 (8,6)-cone graph 14 6-triangular graph 15 complete bipartite graph (8,8) 16 17-Paley graph 17 9-crown graph 18 24-cell graph 24 (25,8,3,2)-strongly regular graph 1 25 line graph of the icosahedral graph 30 generalized hexagon (4,1) 105 generalized hexagon (1,7) 114 8-hypercube graph 256 (8,8)-cage graph 800

Regular Graph

## Explore with Wolfram|Alpha

More things to try:

## References

Meringer, M. "Connected Regular Graphs." http://www.mathe2.uni-bayreuth.de/markus/reggraphs.html#CRG.Sloane, N. J. A. Sequence A014378 in "The On-Line Encyclopedia of Integer Sequences."

Octic Graph

## Cite this as:

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