Graphical Designs on the Cubic Vertex-Transitive 66 Graph


Graph Info
Vertices 30
Edges 45
Regularity 3
Eigenspaces 7


Spectrum from low to high frequency:

`0, -0.14609^5, -1.66669^6, -0.46069^4, -1.52049^5, -1.20599^4, -1^5`


3-design on Cubic Vertex-Transitive 66 graph


Design Info
`k`-graphical design
`k=3`
Efficacy
`6/12`
Optimal no
Maximal no
Extremal no
1-Neighborhood is the graph no


Cubic Vertex-Transitive 66 graph


Design Info
`k`-graphical design
`k=6`
Efficacy
`10/25`
Optimal yes
Maximal yes
Extremal yes
1-Neighborhood is the graph yes



Get the code or see more about cubic vertex-transitive graphs.