Graphical Designs on the Robertson-Wegner Graph


Graph Info
Vertices 30
Edges 75
Regularity 5
Eigenspaces 12


Spectrum from low to high frequency:

`0, -1.59999^4, -1.54129^2, -1.49329^2, -1.42449^2, -0.6^8,`
`-1.35549^2, -0.6587^2, -0.7067^2, -0.7755^2, -1.19999, -0.8445^2`

Optimal Design on Robertson Wegner Graph


Design Info
`k`-graphical design
`k=2`
Efficacy
`2/5`
Optimal yes
Maximal no
Extremal no
1-Neighborhood is the graph no



3-Design on Robertson Wegner Graph


Design Info
`k`-graphical design
`k=3`
Efficacy
`3/7`
Optimal no
Maximal no
Extremal no
1-Neighborhood is the graph no



5-Design on Robertson Wegner Graph


Design Info
`k`-graphical design
`k=5`
Efficacy
`5/11`
Optimal no
Maximal no
Extremal no
1-Neighborhood is the graph no



Maximal Design on Robertson Wegner Graph


Design Info
`k`-graphical design
`k=10`
Efficacy
`15/27`
Optimal no
Maximal yes
Extremal no
1-Neighborhood is the graph yes



Get the code or see Wikipedia for more about the Robertson-Wegner graph.