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At times we will also make use of the N g ×N g identity matrix, I g, consisting of ones on the leading diagonal, and zeros elsewhere.
Each CH m broadcasts R o u t e−M s g consisting of its own ID, residual energy (E r e s (m)), number of connections (C(m)) and number of hops to BS (H(m)), after every t = T2 seconds.
However, this category is too large for our purposes and we instead consider a subcategory C o g consisting of cocomplete objects.
The face-hypergraph, H(G), of a graph G embedded in a surface has vertex set V G), and every face of G corresponds to an edge of H(G) consisting of the vertices incident to the face.
The graph G is identified with a graph complex K G consisting of these simplices and its subsimplices.
(G_1^-) denotes the induced subgraph of G consisting of all the vertices not in (G_1^+), { v_4), (v_5)}, and their neighboring vertices in G, { v_2), (v_3)}.
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That the G consists of 4 cars instead of the standard 8 or 10 only adds to its punch-line potential.
The optimization problem associated with an and/or graph G consists of finding a minimum weight solution subgraph H of G, where the weight of a solution subgraph is the sum of the weights of its edges.
The space H 1 ( G ) consists of all constant functions on edges and T induces −Id.
Let us denote as A the true community structure of G and suppose that G consists of c A clusters.
In this section we study vertex maps where the vertices of G consist of one periodic orbit.
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