Operations Research 08A: Directed & Undirected Networks

Operations Research 08A: Directed & Undirected Networks

In this video, I’ll talk about directed and
undirected networks. A network is also called a graph. It is defined by two sets of symbols: nodes
and arcs. Nodes are also called vertices. Arcs are also called edges. An arc consists of an ordered pair of nodes
and represents a possible direction of flow. If flow through an arc is allowed in only
one direction, the arc is a directed arc. Otherwise, it is an undirected arc. For the arc (i, j), i is the initial node,
j is the terminal node. Let’s see some examples. This is a network. It has 6 nodes: A, B, C, D, E, F. It has 9
directed arcs: (A,B), (B,C), (C,D), (C,E), (C,F), (A,F), (F,B), (F,E), and (E,D). This is another network. It also has 6 nodes: A through F. It has 9
undirected arcs: (A,B), (B,C), (C,D), (C,E), (C,F), (A,F), (F,B), (F,E), and (E,D). A network that has only directed arcs is called
a directed network. If all its arcs are undirected, the network
is said to be an undirected network. The left one is a directed network. The right one is an undirected network. Okay, these are the concepts of directed and
undirected networks. Thanks for watching.


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