Algorithms in C++ Part 5: Graph Algorithms (3rd Edition) by Robert Sedgewick

By Robert Sedgewick

Supplying routines to aid scholars examine the houses of algorithms, this article locations a better emphasis on summary info varieties, modular programming, object-oriented programming and C++ periods.

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Extra resources for Algorithms in C++ Part 5: Graph Algorithms (3rd Edition) (Pt.5)

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1 Prove that any acyclic connected graph that has V vertices has V - 1 edges. 2 Give all the connected subgraphs of the graph 0-1 0-2 0-3 1-3 2-3. 1. For example, if your list contains 3-4-5-3, it should not contain 3-5-4-3, 4-5-3-4, 4-3-5-4, 5-3-4-5, or 5-4-3-5. 4 Consider the graph 3-7 1-4 7-8 0-5 5-2 3-8 2-9 0-6 4-9 2-6 6-4. 3). 5 Consider the graphs defined by the following four sets of edges: 0-1 0-2 0-3 1-3 1-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-9 7-8 0-1 0-2 0-3 0-3 1-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-9 7-8 0-1 1-2 1-3 0-3 0-4 2-5 2-9 3-6 4-7 4-8 5-8 5-9 6-7 6-9 7-8 4-1 7-9 6-2 7-3 5-0 0-2 0-8 1-6 3-9 6-3 2-8 1-5 9-8 4-5 4-7.

2 Graph ADT We develop our graph-processing algorithms using an ADT that defines the fundamental tasks, using the standard mechanisms introduced in Chapter 4. 1 is the ADT interface that we use for this purpose. 5. Later in the book, whenever we consider a new graph-processing problem, we consider the algorithms that solve it and their implementations in the context of client programs and ADTs that access graphs through this interface. This scheme allows us to address graph-processing tasks ranging from elementary maintenance functions to sophisticated solutions of difficult problems.

We conclude the chapter with a review of the most important graph-processing problems that we consider in this book, placing them in context according to the difficulty of solving them. 1 Glossary A substantial amount of nomenclature is associated with graphs. Most of the terms have straightforward definitions, and, for reference, it is convenient to consider them in one place: here. We have already used some of these concepts when considering basic algorithms in Part 1; others of them will not become relevant until we address associated advanced algorithms in Chapters 18 through 22.

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