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5 Graph Theory - MIT OpenCourseWare

Mcs-ftl 2010/9/8 0:40 page 121 #1275 Graph TheoryInformally, a Graph is a bunch of dots and lines where the lines connect some pairsof dots. An example is shown in The dots are callednodes(orvertices)and the lines are example of a Graph with 9 nodes and 8 are ubiquitous in computer science because they provide a handy wayto represent a relationship between pairs of objects. The objects represent itemsof interest such as programs, people, cities, or web pages, and we place an edgebetween a pair of nodes if they are related in a certain way. For example, an edgebetween a pair of people might indicate that they like (or, in alternate scenarios,that they don t like) each other. An edge between a pair of courses might indicatethat one needs to be taken before the this chapter, we will focus our attention on simple graphs where the relation-ship denoted by an edge is symmetric.

5 Graph Theory Informally, a graph is a bunch of dots and lines where the lines connect some pairs of dots. An example is shown in Figure 5.1. The dots are called nodes (or vertices) and the lines are called edges. c h i j g e d f b Figure 5.1 An example of a …

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