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$12^{2}_{259}$ - Minimal pinning sets

Pinning sets for 12^2_259

Minimal pinning semi-lattice

(y-axis: cardinality)

Pinning semi lattice for 12^2_259

Pinning data

Refined data for the minimal pinning sets

Pin label Pin color Regions Cardinality Degree sequence Mean-degree
A (optimal) {1, 2, 3, 4, 6, 9} 6 [2, 2, 2, 2, 2, 3] 2.17
B (optimal) {1, 2, 3, 6, 9, 11} 6 [2, 2, 2, 2, 2, 4] 2.33
C (optimal) {1, 2, 3, 6, 9, 10} 6 [2, 2, 2, 2, 2, 4] 2.33
D (optimal) {1, 2, 3, 6, 7, 9} 6 [2, 2, 2, 2, 2, 3] 2.17
E (optimal) {1, 2, 3, 6, 8, 9} 6 [2, 2, 2, 2, 2, 4] 2.33

Data for pinning sets in each cardinal

Cardinality Optimal pinning sets Minimal suboptimal pinning sets Nonminimal pinning sets Averaged mean-degree
6 5 0 0 2.27
7 0 0 20 2.63
8 0 0 35 2.86
9 0 0 35 3.02
10 0 0 21 3.14
11 0 0 7 3.25
12 0 0 1 3.33
Total 5 0 119


Other information about this multiloop

Properties

Combinatorial encoding data

Multiloop annotated with half-edges

12^2_259 annotated with half-edges
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