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We define as the modular function defined by the degree vector d G (v) of G.
Determine the adjacency matrix and its degree vector for the updated MBS Zones.
Step 2. Find a degree vector of matrix, which is defined as (2).
We say that a vector m on V is the degree vector of G if d G (v =m v) for all v∈V.
Step 3. Focus on only the MBS Zones that have updated their topology, which are indicated by the non-zero elements in (i.e., the degree vector of matrix ).
Similarly, for each element (tau_{U}inmathcal{T}_{U}), we choose a polynomial degree vector (mathbf{p}_{2}=(p_{tau_{U}})_{tau_{U}in mathcal {T}_{U}}) ((p_{tau_{U}}inmathbb{N})).
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Figure 8 When (pmb{t=2}), the relative errors between solutions of Problem V with different number of POD bases for a group of 20 snapshots and the classical SPDMFE formulation Problem IV with piecewise first degree polynomial polynomials and piecewise first degree vectors.
For the 344 common brain regions, the degree vectors are strongly correlated (Pearson = 0.769, Spearman = 0.433).
We measure this by distance graphlet degree vectors (GDVs) (Pržulj, 2007).
By analyzing edge graphlet degree vectors (EGDV) we identified network contexts in which interactions of different types typically occur.
We used edge graphlet degree vectors (EGDV) [ 37] as a method for measuring the local topology of an edge e in a graph g.
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