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Average path length is the distance between two vertices is defined as the number of edges along the shortest path connecting them.
This makes sense because in un-weighed graphs the number of steps or connections between two vertices is the same as their distance.
A graph consists of a set of elements (vertices or nodes) together with a binary relation that is defined on the set; a relation between two vertices is called edge (Wilson 1996).
In fact, it is easy to see that there exist TVGs where counting all foremost journeys or journey routes between two vertices is #P-complete, which means that no polynomial-time algorithm is known.
Our method identifies whether the score between two vertices is significantly high.
If an edge between two vertices is included in E, we call these two adjacent.
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The connectivity conditions between two vertices are the conditions C1 and C2 proposed in the previous section.
A graph without loops and with at most one edge between any two vertices is called a simple graph.
For each triangle, the depth difference between the first vertex and the other two vertices is calculated.
Figure 8 (a) gives an example illustrating the behavior of the shortest path search when the vertical distance between any two vertices are all less than T p for the vertices { v1, v2, v3, v4, v5, v6}.
Two vertices are connected if there is a path between them.
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