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The decision version of the forwarding index problem is, given a connected graph G and an integer ξ, to find a way of connecting each ordered pair of vertices by a path so that every vertex is an internal point of at most such paths.
We denote the complete graph on n vertices by (K_n).
Thus we can reach these vertices by only one edge from the vertices y i ( 1 ≤ i ≤ n ).
When (n= k+1 gamma_{k}), (T=Rcirc k) for some tree R on (gamma_{k}) vertices by Lemma 2.6.
The final stage is clustering or partitioning of those vertices by recursive two-way (bipartition) or direct k-way [39].
Tu et al. [28] propose a context-aware embedding algorithm to learn the embeddings for vertices by considering both the structural roles and text information of nodes simultaneously.
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Cells are represented by vertices connected by edges representing cell walls.
states that we merge the vertices in such that all the vertices with reaction j that occur between t and t′ are mapped to a single vertice by filtering out their time stamps, that is, τ.
As described in Definition 12, we obtain a flux configuration first by merging the vertices of the simulation configuration such that all the vertices with a certain reaction within the given time interval are mapped to a single vertice by filtering out their time stamps.
Analysed sequences are represented in the graph by vertices which are connected by edges reflecting attractive forces proportional to the negative logarithm of the HSP's P value.
We construct diffeomorphism-invariant functionals on the space of cylinder functions from "spin networks": graphs inMwith edges labeled by representations ofGand vertices labeled by intertwining operators.
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