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Tree connected graph - PowerPoint PPT Presentation

What is a Graph?

What is a Graph?. A graph G = ( V ,E) is composed of: V : set of vertices E : set of edges connecting the vertices in V An edge e = (u,v) is a pair of vertices Example:. a. b. V = {a,b,c,d,e} E = {(a,b),(a,c),(a,d), (b,e),(c,d),(c,e), (d,e)}. c. e. d. Applications. JFK. LAX.

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The Mathematics of Networks

The Mathematics of Networks. Chapter 7. Trees. A tree is a graph that Is connected Has no circuits. Tree. Tree. Tree. Not a Tree. Not a Tree: Has a circuit. Not a Tree: Has several circuits. Not a Tree. Not a Tree: Has no circuit, but is not connected. Not a Tree.

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Tree connected graph - PowerPoint PPT Presentation

What is a Graph?

The Mathematics of Networks