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The Graph Data Model - Stanford University

CHAPTER9FF FFThe GraphData ModelA Graph is, in a sense, nothing more than a binary relation. However, it has apowerful visualization as a set of points (called nodes) connected by lines (callededges) or by arrows (called arcs). In this regard, the Graph is a generalization of thetree data Model that we studied in Chapter 5. Like trees, graphs come in severalforms: directed/undirected, and like trees, graphs are useful in a wide spectrum of problems such as com-puting distances, finding circularities in relationships,and determining connectiv-ities. We have already seen graphs used to represent the structure of programs inChapter 2. Graphs were used in Chapter 7 to represent binary relations and toillustrate certain properties of relations, like commutativity.

A technique for finding minimal spanning trees (Section 9.5). A useful technique for exploring graphs, called “depth-first search” (Section 9.6). 451. 452 THE GRAPH DATA MODEL Applications of depth-first search to test whether a directed graph has a cycle,

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