In the resulting model, the conserved membrane integrated core of YidC forms a helical bundle arranged like the vertices of a pentagon, in the order 4-5-3-2-6 (clockwise) when viewed from the cytoplasm.
It is featured with a tetrahedral coordination cage with four Co4-TC4A shuttlecock-like subunits as the vertices and four SIP molecules as the tripod linkers located on the triangular faces.
Applying the fundamental principle that every molecule tends to assume a shape corresponding to its lowest possible energy, the scientists deduced that each 60-atom cluster would probably assume a three-dimensional form corresponding to a truncated icosahedron -- a hollow, ball-like molecule with 60 vertices and 32 faces, of which 12 would be regular pentagons and 20 would be regular hexagons.
But, if the linking probability is the same for all pairs of vertices, like in random graphs, no communities are expected.
Here there are many overlapping vertices, like the word intelligence, shared between the groups of mind and intelligent, and a bunch of terms indicating (mostly) professional status within schools and/or universities, like student, professor, teacher, etc., which lie between the groups of expert and college/university.
Ge islands preferentially grow at the vertices of arrowhead-like steps, aligning along the center of a mesa.
The addition of a rod-like molecule between two octahedral vertices in metal cyanide structures provides dramatically enhanced flexibility, leading to negative thermal expansion and auxetic behaviour (Goodwin et al., 2004 ▸; Goodwin, Keen et al., 2008 ▸; Conterio et al., 2008 ▸; Goodwin, Calleja et al., 2008 ▸).
Like ICP, NetMatcher matches vertices first, and subsequently matches edges that are connected to matched vertices.
For example, each vertex is typically assigned to a single cluster, while in several instances, like in social networks, vertices are typically shared between two or more clusters.
Starting from s, a naive graph exploration method like BFS would access all vertices within a distance of (|p_{st}|) to s.
