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The density of a graph is defined in Eq. (11).
The density of a graph (G) is given by the ratio of the number of existing links to the number of potential links.
When γ=2, the scaled density is half the internal density of a graph cluster [ 13].
The density of a graph G = 〈 V, E〉 is defined by D G = 2 | E | | V | ( | V | − 1 ) If all the vertices of G are pairwise adjacent, then G is a complete graph and D G = 1.
Within each trial, we randomly selected one primer pair for each locus and computed the resulting density of a graph where nodes represent particular SNPs having an assigned primer pair, and edges connect two multiplex-compatible SNPs.
The component density of a graph is the weighted average of the density of individual components or (4) where d c =2 E c /(L c (L c −1)) is the density of component c, with L c nodes.
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In this article, we define the graph density ρ of a graph G, with v vertices and e edges, as the ratio between the number of edges e and the number of potential edges of G, i.e. In this article, we focus on the following random graph models: ER (Erdös and Rényi, 1960), ER with the same degree distribution (ER-DD) as the input graph, and GEO3D (see for example Penrose, 2003).
The density of a directed graph is given by the ratio ρ= M/[ N(N−1)] between the number of directed edges (links) M of the graph and the total number of possible links, N(N− 1), where N is the number of nodes in the graph.
The clustering coefficient of the node v is the density of a sub-graph that is composed only of v neighbors.
Note that the produced graph cannot have a lower density than the density of a minimally connected graph, (frac {2}{|V|},d).
Note that the density of the graph has a limited impact on the overall duration.
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