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

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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 desktop purposes. Covers graph homes and kinds; digraphs and DAGs; minimal spanning timber; shortest paths; community flows; and diagrams, pattern Java code, and targeted set of rules descriptions. Softcover.

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Additional info for Algorithms in Java, Part 5: Graph Algorithms

Example text

1. 4. The topics fall into one of three categories. First, the basic adjacency-matrix and adjacency-lists mechanisms extend readily to allow us to represent other types of graphs. In the relevant chapters, we consider these extensions in detail and give examples; here, we look at them briefly. Second, we discuss graph ADT designs with more features than our basic one and implementations that use more advanced data structures to efficiently implement them. Third, we discuss our general approach to addressing graph-processing tasks, by developing task-specific classes that use the basic graph ADT.

This difficulty is fundamental. 25). 2, prints out a table with the vertices adjacent to each vertex. 7. 18). The output produced by these programs are themselves graph representations that clearly illustrate a basic performance tradeoff. To print out the matrix, we need room on the page for all V2 entries; to print out the lists, we need room for just V + E numbers. For sparse graphs, when V2 is huge compared to V + E, we prefer the lists; for dense graphs, when E and V2 are comparable, we prefer the matrix.

A directed acyclic graph (DAG) is a digraph that has no directed cycles. A DAG (an acyclic digraph) is not the same as a tree (an acyclic undirected graph). Occasionally, we refer to the underlying undirected graph of a digraph, meaning the undirected graph defined by the same set of edges, but where these edges are not interpreted as directed. Chapters 20 through 22 are generally concerned with algorithms for solving various computational problems associated with graphs in which other information is associated with the vertices and edges.

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

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