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Unformatted text preview: IE 495 Lecture 2 August 31, 2000 Reading for this lecture Primary ¡ Miller and Boxer, Chapter 5 ¡ Aho, Hopcroft, and Ullman, Chapter 1 ¡ Fountain, Chapter 4 Secondary ¡ Roosta, Chapter 2 ¡ Cosnard and Trystram, Chapters 4 Interconnection Networks Aside: Introduction to Graphs A graph G = (V, E) is defined by two sets, a finite, nonempty set V of vertices (or nodes) and a set E ⊆ V × V of edges . Example: A road network. The edges can be either ordered pairs or unordered pairs. If the edges are ordered pairs, then they are usually called arcs and the graph is called a directed graph . Otherwise, the graph is called undirected. See AHU, Section 2.3 (Undirected) Graph Terms Vertices u and v are endpoints of the edge (u, v) . We say an edge e = (u, v) is incident to its endpoints. Two vertices u and v are adjacent if (u, v) ∈ E . The degree of a vertex is the number of edges incident to it (equivalently, the number of vertices adjacent to it)....
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This note was uploaded on 08/06/2008 for the course IE 495 taught by Professor Linderoth during the Fall '08 term at Lehigh University .
 Fall '08
 Linderoth
 Operations Research

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