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Digraphs

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Encyclopedia of Machine Learning and Data Mining
  • 98 Accesses

Synonyms

Directed graphs

Definition

A digraph D consists of a (finite) set of vertices V (D) and a set A(D) of ordered pairs, called arcs, of distinct vertices. An arc (u, v) has tail u and head v, and it is said to leave u and enter v.

Figure 1 shows a digraph D with vertex set V (D) = {u, v, w, x, y, z} and arc set A(D) = {(u, v), (u, w), (v, w), (w, x), (x, w), (x, z), (y, x), (z, x)}. Digraphs can be viewed as generalizations of graphs.

Digraphs, Fig. 1
figure 49 figure 49

A digraph

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(2017). Digraphs. In: Sammut, C., Webb, G.I. (eds) Encyclopedia of Machine Learning and Data Mining. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7687-1_215

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