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The extremities of compartments define the position of nodes; there is a directed edge in both directions between adjacent nodes.
In a directed edge network (the direction of the edges is recorded), the maximal number of edges for a network with N nodes is N(N - 1), and the density is L/ N(N - 1).
In each iteration of the hill climbing algorithm, a directed edge is either added, deleted, or its direction reversed.
A directed edge [u, v] is formed with the nearest neighbor v.
A directed edge from γ to δ is denoted by γ → δ.
Here, a directed edge o i → o j shows the newness-precedent relation o i ≼ o j.
If terminal j decodes successfully the packet from source i, a directed edge, i to j, is generated.
Edges are ordered pairs of nodes: e = ( u, v ) ∈ E is a directed edge from u to v, with u, v ∈ V.
In the proposed scheme, we consider that two players are connected by a directed edge if one has a social tie towards the other.
Nodes in the network represent Wikipedia users, and a directed edge from node i to node j represent that user i voted on user j.
From O we can form a suborbital graph G : its vertices are the elements of Δ, and there is a directed edge from γ to δ if ∈ O.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com