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The multiplicity (the number of multiple edges) between two vertices u and v is denoted by m u,v).
In such cases visualization tools based on multi-edged networks offer the possibility to link two vertices by multiple edges, every edge having a different meaning and information value.
Let H be a graph having λ edges which has no loops and multiple edges.
In this paper, all graphs are finite undirected graphs without loops and multiple edges.
Throughout this paper we consider simple connected graphs without loops and multiple edges.
If an algorithm yields the same authentic scores to multiple edges, we randomly order these edges.
All the graphs considered in this paper are without loops but may have multiple edges.
Throughout this paper we consider simple graphs, i.e., graphs without loops and multiple edges.
Miller and Page note that "there are multiple edges, not just a single one" (Miller and Page 2007, p. 133).
Here and hereafter we assume G is simple, that is, G has no multiple edges and no self-loops.
Throughout this paper, we consider simple graphs which are finite, indirected graphs without loops and multiple edges.
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