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$10^{2}_{9}$ - Minimal pinning sets

Pinning sets for 10^2_9

Minimal pinning semi-lattice

(y-axis: cardinality)

Pinning semi lattice for 10^2_9

Pinning data

Refined data for the minimal pinning sets

Pin label Pin color Regions Cardinality Degree sequence Mean-degree
A (optimal) {1, 2, 3, 5, 9} 5 [2, 2, 3, 3, 3] 2.60
B (optimal) {1, 3, 4, 7, 10} 5 [2, 2, 3, 3, 3] 2.60
C (optimal) {1, 3, 4, 8, 9} 5 [2, 2, 3, 3, 4] 2.80
a (minimal) {1, 2, 3, 5, 7, 10} 6 [2, 2, 3, 3, 3, 3] 2.67
b (minimal) {1, 3, 4, 5, 7, 9} 6 [2, 2, 3, 3, 3, 3] 2.67
c (minimal) {1, 2, 3, 4, 9, 10} 6 [2, 2, 3, 3, 3, 3] 2.67

Data for pinning sets in each cardinal

Cardinality Optimal pinning sets Minimal suboptimal pinning sets Nonminimal pinning sets Averaged mean-degree
5 3 0 0 2.67
6 0 3 15 2.81
7 0 0 32 2.99
8 0 0 24 3.1
9 0 0 8 3.17
10 0 0 1 3.2
Total 3 3 80


Other information about this multiloop

Properties

Combinatorial encoding data

Multiloop annotated with half-edges

10^2_9 annotated with half-edges
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