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$8^{2}_{3}$ - Minimal pinning sets

Pinning sets for 8^2_3

Minimal pinning semi-lattice

(y-axis: cardinality)

Pinning semi lattice for 8^2_3

Pinning data

Refined data for the minimal pinning sets

Pin label Pin color Regions Cardinality Degree sequence Mean-degree
A (optimal) {1, 3, 4, 6} 4 [2, 2, 3, 3] 2.50
B (optimal) {1, 3, 5, 8} 4 [2, 2, 4, 4] 3.00
C (optimal) {1, 3, 6, 7} 4 [2, 2, 3, 3] 2.50
D (optimal) {1, 2, 3, 4} 4 [2, 2, 3, 3] 2.50
E (optimal) {1, 2, 3, 7} 4 [2, 2, 3, 3] 2.50

Data for pinning sets in each cardinal

Cardinality Optimal pinning sets Minimal suboptimal pinning sets Nonminimal pinning sets Averaged mean-degree
4 5 0 0 2.6
5 0 0 16 2.8
6 0 0 15 2.89
7 0 0 6 2.95
8 0 0 1 3.0
Total 5 0 38


Other information about this multiloop

Properties

Combinatorial encoding data

Multiloop annotated with half-edges

8^2_3 annotated with half-edges
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