6.5.1Basic concept of dynamic fuzzy graph

1. Relational concept of graph

Definition 6.13 Let G = (VG, EG) be a graph, where VG represents the finite nonempty set of data elements in the graph that are nodes and EG represents the set of relationships between two nodes, i.e. a set of edges.

Definition 6.14 For nodes v, w in a graph, if <(v, w>∈ EG, (v, w) represents a bow between an initial point v and an end point w, the graph is called a direct graph. If <v, w>∈EG and <w, v>∈ EG, then EG is symmetric. We can use the unordered pair (v, w) to replace the two ordered pairs in representing that an edge exists between v and w; this graph is called a non-direct graph. The predicate P(v, w) represents the information or meaning of the bow <v, w>. ...

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