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Graphical Designs on the Double Star Snark

Graph Info
Vertices	30
Edges	45
Regularity	3
Eigenspaces	11

Spectrum from low to high frequency:

$0, -1.86099^4, -0.1461, -0.3152^4, -1.6667^2, -0.4607^4, -1.5205, -1.4115^4, -0.7456^4, -1.2060^4, -1$

2-design on the Double Star Snark

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

Optimal and Maximal design on the Double Star Snark

Design Info
$k$ -graphical design	$k=10$
Efficacy	$10/29$
Optimal	yes
Maximal	yes
Extremal	yes
1-Neighborhood is the graph	yes

Get the code or see Wikipedia for more about the Double Star Snark.