By Robert Sedgewick
Textual content offers a device set for programmers to enforce, debug, and use graph algorithms throughout quite a lot of machine purposes. Covers graph homes and kinds; digraphs and DAGs; minimal spanning bushes; shortest paths; community flows; and diagrams, pattern Java code, and unique set of rules descriptions. Softcover.
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Additional resources for Algorithms in Java, Part 5: Graph Algorithms
54). Such representations are attractive for processing huge static graphs. The algorithms that we consider adapt readily to all the variations that we have discussed in this section, because they are based on a few high-level abstract operations such as "perform the following operation for each edge adjacent to vertex v" that are supported by our basic ADT. In some instances, our algorithm-design decisions depend on certain properties of the representation. Working at a higher level of abstraction might obscure our knowledge of that dependence.
5 is an interface for a graph-connectivity ADT. We can write client programs that use this ADT to create objects that can provide the number of connected components in the graph and that can test whether or not any two vertices are in the same connected component. 5, and we develop similar ADTs throughout the book. Typically, such ADTs include a preprocessing method (the constructor), private data fields that keep information learned during the preprocessing, and query methods that use this information to provide clients with information about the graph.
2, our interface requires that the number of vertices is known to the client when the graph is initialized. 20). 7 is that Java automatically initializes the matrix by setting its entries all to false. We need to be mindful that this operation takes time proportional to V2, no matter how many edges are in the graph. 23). 40 Part V: Graph Algorithms Part V: Graph Algorithms 41 To add an edge, we set the indicated matrix entries to true (one for digraphs, two for undirected graphs). This representation does not allow parallel edges: If an edge is to be inserted for which the matrix entries are already true, the code has no effect.
Algorithms in Java, Part 5: Graph Algorithms by Robert Sedgewick