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Nonisomorphic graphs with 10 vertices all of degree 3

Bingk

New member
Jan 26, 2012
16
Hello,
I need help finding all non-isomorphic graphs that have exactly ten vertices, and each vertex has degree three. Does anyone know where I could find them? Or how many there are?
I know that playing around with generalized Petersen graphs gives a few, but I doubt that would give all of them.

Thanks!
 

Sudharaka

Well-known member
MHB Math Helper
Feb 5, 2012
1,621
Hello,
I need help finding all non-isomorphic graphs that have exactly ten vertices, and each vertex has degree three. Does anyone know where I could find them? Or how many there are?
I know that playing around with generalized Petersen graphs gives a few, but I doubt that would give all of them.

Thanks!
Hi Bingk, :)

If you want all the non-isomorphic, connected, 3-regular graphs of 10 vertices please refer >>this<<. There seem to be 19 such graphs. The graphs were computed using GENREG.