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A non-unital A ∞ -algebra A is an object A ∈ C h and a collection of degree 1 maps μ A n : (s A ) ⊗ n → s A for n > 0 satisfying the relation ∑ k = 0 n [ ∑ r = 0 n − k μ A n − k + 1 ∘ (1 ⊗ r ⊗ μ A k ⊗ 1 ⊗ (n − r − k ) ) ] = 0 for every n.
Definition 2.1 A non-unital A ∞ -algebra A is an object A ∈ C h and a collection of degree 1 maps μ A n : (s A ) ⊗ n → s A for n > 0 satisfying the relation ∑ k = 0 n [ ∑ r = 0 n − k μ A n − k + 1 ∘ (1 ⊗ r ⊗ μ A k ⊗ 1 ⊗ (n − r − k ) ) ] = 0 for every n.
The set of degree centralities, which represents the collection of degree indices of N actors in a network, can be summarised by the following equation to measure network degree centralisation[ 47]: (3) C D = ∑ i = 1 N C D n * − C D n i N − 1 N − 2 Where, { C D (n i )} are the degree indices of N actors and C D (n*) is the largest observed value in the degree indices.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com