On the other hand, a non-clique edge sharing a vertex with the clique has (k(1+2p)) neighbors at most, on average.
"Now the riverfront can become an urban edge shared by everyone — a point from which to build the city back.
CeO9 polyhedra have distorted tricapped trigonal prism geometry and form edge sharing dimers.
The inorganic layer in compound 2 features a 1D chain of edge-sharing SrO8 polyhedra whereas that in compound 3 features an edge-sharing Ba2O14 di-polyhedral unit which is further corner-shared with four neighboring ones.
The dislocation in the zigzag-oriented grain boundary contains an edge-sharing pentagon/heptagon defect, whereas the dislocation in the armchair-oriented grain boundary contains two paired pentagon/heptagon defects.
In δ-MnO2 nanoparticles free of Mn II,III) at pH 6.6, Ni was adsorbed primarily at vacancy sites, with a minor fraction of Ni present as a double-edge sharing (DES) or a double-corner sharing (DCS) complex at surface loadings exceeding the vacancy content.
The mesh is converted to a weighted undirected graph by taking every face of the mesh as a graph vertex, every edge shared by two faces as a graph edge, and the graph is represented as G = (V, E).
A firefly graph (F_{s,t,n-2s-2t-1}) ((s geq0), (t geq0) and (n-2s-2t-1 graph) is a graph with n vertices that consists of s triangles, t pendent paths of length 2 and (n-2s-2t-1) pendent edgesharinging a common vertex.
If an edge is shared by two squares in this collection, it occurs in one square with opposite orientation from the orientation it has from the other square.
The Cu-Mn distance in this edge-sharing mode is approximately 2.80 Å, which is much shorter than the Cu-Mn distances in the two samples (3.37 Å, 3.44 Å), implying that the possibility of a face-sharing and an edge-sharing linkage can be excluded.
Maximum weighted matching (MWM): In the graph G V, E), if there is a set of edges such that no two edges share a common end vertex, it is known as a matching.
