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On R-MAT graphs, the number of vertices is set to be 5000 and the edge-to-vertex ratio varies from 40 to 140.
The local clustering coefficient (LCC) of a vertex is the ratio of the actual number of links between the neighbors of the vertex to that of the maximum possible number of links between the neighbors of the vertex [1].
Computer Aided Geometric Design 15 (9), 879 891] presented a remarkable family of Bézier curves, characterized by a control polygon with constant angle at each vertex and constant ratio between lengths of consecutive edges.
The clustering coefficient CC x) of a vertex x is the ratio between the number of edges among the neighbor-set of x and the total possible number.
The clustering coefficient of a vertex(i) is the ratio of the number of edges between neighbors of vertex (i) to the upper bound on the number of edges between them.
The local clustering coefficient, C C i, of a vertex i is the ratio between the actual number of edges that exist between the vertex and its neighbors and the maximum number of possible edges between these neighbors.
The LGI of a vertex corresponds to the ratio of the surface area of the folded pial contour ("buried" surface) to the outer contour of the cortex ("visible" surface) included within spherical regions of interest (25 mm radius).
Using the obtained results, the effects of the variations of the gradient index of materials, the semi-vertex angle and the ratio radius to thickness in the critical buckling temperature expression are studied through pertinent computations.
Thus, clustering coefficient C i of vertex n i is the ratio of the actual number of edges E i between the neighbors to the maximal numberE max ; {C}_i=frac{2{E}_i}{k_i left({k}_i - 1right)}.
Clustering coefficients per vertex are calculated as the ratio of the number of existing edges between its neighbor vertices and the maximum possible number such an edges.
The internal volume to shell volume ratio in this vertex is 96% of the optimum value.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com