14: Graphs
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- 14.1: Basics and Examples
- graph (working definition): a diagram consisting of a finite collection of points connected by line segments or arcs
- 14.2: Properties of Graphs
- Properties of vertices and edges
- 14.3: Adding Information to Graphs
- Weighted Graph(Working Definition): a graph in which each edge is assigned a weight or cost, usually a numerical value
- 14.4: Important Examples
- A power set graph. We can use a graph to visualize the power set of a finite set A: let (P(A),E) be the directed graph where, for vertices B,C∈P(A) (that is, subsets B,C⊆A ), the ordered pair (B,C) is an edge in E if the following two conditions are satisfied: