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The Boost Graph Library (BGL) is the first C++ library to apply the principles of generic programming to the construction of the advanced data structures and algorithms used in graph computations. Problems in such diverse areas as Internet packet routing, molecular biology, scientific computing, and telephone network design can be solved by using graph theory. This book presents an in-depth description of the BGL and provides working examples designed to illustrate the application of BGL to these real-world problems.
Written by the BGL developers, The Boost Graph Library: User Guide and Reference Manual gives you all the information you need to take advantage of this powerful new library. Part I is a complete user guide that begins by introducing graph concepts, terminology, and generic graph algorithms. This guide also takes the reader on a tour through the major features of the BGL; all motivated with example problems. Part II is a comprehensive reference manual that provides complete documentation of all BGL concepts, algorithms, and classes.
Readers will find coverage of:
Groundbreaking in its scope, this book offers the key to unlocking the power of the BGL for the C++ programmer looking to extend the reach of generic programming beyond the Standard Template Library.
Foreword.
Preface.
I User Guide.
1. Introduction.
Some Graph Terminology.
Graph Concepts.
Vertex and Edge Descriptors.
Property Maps.
Graph Traversa.
Graph Construction and Modification
Algorithm Visitors.
Graph Classes and Adaptors.
Graph Classes.
Graph Adaptors.
Generic Graph Algorithms.
The Topological Sort Generic Algorithm.
The Depth-First Search Generic Algorithm.
Introduction.
Polymorphism in Object-Oriented Programming.
Polymorphism in Generic Programming.
Comparison of GP and OOP.
Generic Programming and the STL.
Concepts and Models.
Sets of Requirements.
Example: InputIterator.
Associated Types and Traits Classes.
Associated Types Needed in Function Template.
Typedefs Nested in Classes.
Definition of a Traits Class.
Partial Specialization.
Tag Dispatching.
Concept Checking.
Concept-Checking Classes.
Concept Archetypes.
The Boost Namespace.
Classes.
Koenig Lookup.
Named Function Parameters.
File Dependencies.
Graph Setup.
Compilation Order.
Topological Sort via DFS.
Marking Vertices Using External Properties.
Accessing Adjacent Vertices.
Traversing All the Vertices.
Cyclic Dependencies.
Toward a Generic DFS: Visitors.
Graph Setup: Internal Properties.
Compilation Time.
A Generic Topological Sort and DFS.
Parallel Compilation Time.
Summary.
Breadth-First Search.
Definitions.
Six Degrees of Kevin Bacon.
Depth-First Search.
Definitions.
Finding Loops in Program-Control-Flow Graphs.
Definitions.
Internet Routing.
Bellman-Ford and Distance Vector Routing.
Dijkstra and Link-State Routing.
Definitions.
Telephone Network Planning.
Kruskal's Algorithm.
Prim's Algorithm.
Definitions.
Connected Components and Internet Connectivity.
Strongly Connected Components and Web Page Links.
Definitions.
Edge Connectivity.
Knight's Jumps as a Graph.
Backtracking Graph Search.
Warnsdorff's Heuristic.
Using BGL Topological Sort with a LEDA Graph.
Using BGL Topological Sort with a SGB Graph.
Implementing Graph Adaptors.
Graph Class Comparisons.
The Results and Discussion.
Conclusion.
II Reference Manual.
Graph Traversal Concepts.
Undirected Graphs.
Graph.
IncidenceGraph.
BidirectionalGraph.
AdjacencyGraph.
VertexListGraph.
EdgeListGraph.
AdjacencyMatrix.
Graph Modification Concepts.
VertexMutableGraph.
EdgeMutableGraph.
MutableIncidenceGraph.
MutableBidirectionalGraph.
MutableEdgeListGraph.
PropertyGraph.
VertexMutablePropertyGraph.
EdgeMutablePropertyGraph.
Visitor Concepts.
BFSVisitor.
DFSVisitor.
DijkstraVisitor.
BellmanFordVisitor.
Overview.
Basic Algorithms.
breadth_first_search.
breadth_first_visit.
depth_first_search.
depth_first_visit.
topological_sort.
Shortest-Path Algorithms.
dijkstra_shortest_paths.
bellman_ford_shortest_paths.
johnson_all_pairs_shortest_paths.
Minimum-Spanning-Tree Algorithms.
kruskal_minimum_spanning_tree.
prim_minimum_spanning_tree.
Static Connected Components.
connected_components.
strong_components.
Incremental Connected Components.
initialize_incremental_components.
incremental_components.
same_component.
component_index.
Maximum-Flow Algorithms.
edmunds_karp_max_flow.
push_relabel_max_flow.
Graph Classes.
adjacency_list.
adjacency_matrix.
Auxiliary Classes.
graph_traits.
adjacency_list_traits.
adjacency_matrix_traits.
property_map.
property.
Graph Adaptors.
edge_list.
reverse_graph.
filtered_graph.
SGB GraphPointer.
LEDA GRAPH<V,E>.
std::vector<EdgeList>.
Property Map Concepts.
ReadablePropertyMap.
WritablePropertyMap.
ReadWritePropertyMap.
LvaluePropertyMap.
Property Map Classes.
property_traits.
iterator_property_map.
Property Tags.
Creating Your Own Property Maps.
Property Maps for Stanford GraphBase.
A Property Map Implemented with std::map.
Buffer.
ColorValue.
MultiPassInputIterator.
Monoid.
mutable queue.
Disjoint Sets.
disjoint_sets.
find_with_path_halving.
find_with_full_path_compression.
tie.
graph_property_iter_range.