Get Algorithms in Java, Part 5: Graph Algorithms PDF

By Robert Sedgewick

ISBN-10: 0201361213

ISBN-13: 9780201361216

Textual content presents a device set for programmers to enforce, debug, and use graph algorithms throughout a variety of machine functions. Covers graph houses and kinds; digraphs and DAGs; minimal spanning bushes; shortest paths; community flows; and diagrams, pattern Java code, and exact set of rules descriptions. Softcover.

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Extra resources for Algorithms in Java, Part 5: Graph Algorithms

Example text

This scheme allows us to address graph-processing tasks ranging from elementary maintenance operations to sophisticated solutions of difficult problems. 1 Graph ADT interface This interface is a starting point for implementing and testing graph algorithms. It defines a Graph data type with the standard representation-independent ADT interface methodology from Chapter 4 and uses a trivial Edge data type to encasulate pairs of vertices as edges (see text). The Graph constructor takes two parameters: an integer giving the number of vertices and a Boolean that tells whether the graph is undirected or directed (a digraph).

Nxt()) deg[v]++; } } int degree(int v) { return deg[v]; } } For each of the graph-processing tasks that we consider in this book, we encapsulate solutions in classes like this one, with a constructor and query methods specific to the task that perhaps use private methods and communicate via private fields. Clients create objects whose methods do the graph processing. This approach amounts to extending the graph ADT interface by defining a cooperating set of classes. Any set of such classes defines a graph-processing interface, but each encapsulates its own constructor, private fields, and methods.

28)). The insert code keeps insertion time constant by not checking for duplicate edges, and the total amount of space used is proportional to V + E. This representation is most suitable for sparse multigraphs. 9 maintains a link t to traverse the linked list associated with vertex v. An invocation of beg() followed by a sequence of invocations of nxt() (checking that end() is false before each invocation) gives a sequence of the vertices adjacent to v in G. v = v; t = null; } public int beg() { t = adj[v]; return t == null ?

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Algorithms in Java, Part 5: Graph Algorithms by Robert Sedgewick

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