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(2) For each edge in, we connect the vertices through a sequence of edges and vertices.
In the second step, for each edge, we connect the vertices through a sequence of edges and vertices.
These macrocycles (1 3) are composed of 1,7-dicarba-closo-dodecaborane (m-carborane) moieties linked via their carbon vertices through N,N′-dimethyldiphenylurea groups.
Given a graph and positive flow between pairs of vertices, the FCHCP consists of finding a Hamiltonian cycle that minimizes the total flow cost between pairs of vertices through the shortest path on the cycle.
This technique consists in the use of a range camera accompanied by a conventional camera and implements the path from the depth of the feature points to the 3D positions of the vertices through convex programming.
Unlike traditional Lagrangian methods, which move each vertex directly along an approximate normal or user-specified direction, our method propagates faces and then reconstructs vertices through an eigenvalue analysis locally at each vertex to resolve normal and tangential motion of the interface simultaneously.
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Large betweenness centrality of a vertex indicates that many shortest paths between couples of other vertices pass through that node.
The betweenness centrality (BWC) of a vertex is a measure of the fraction of shortest paths between any two vertices going through the vertex and is one of the widely used shortest path-based centrality metrics for the complex network analysis.
Edge betweenness is (roughly) equal to the number of shortest paths linking all pairs of vertices going through an edge.
A surface mesh is constituted of triangles that link the vertices together through their edges.
An alternative approach to 'estimate' the number of specific induced subgraphs with k vertices is through the sampling strategy suggested by Kashtan et al. (2004).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com