Algorithms in a Nutshell
(^132) | Chapter 5: Searching Now we want to add a node with a key of 14. Using the standard semantics of binary trees, 14 will ...
Binary Tree Search | 133 Searching To insert a node into a red-black tree, we need to find the appropriate place in the tree whe ...
(^134) | Chapter 5: Searching The fundamental operation when restructuring the tree is a rotation about a node. We modify the po ...
Binary Tree Search | 135 Searching Consequences Red-black trees—as well as other balanced binary trees—require more code to impl ...
136 Chapter 6. Graph Algorithms................................................................................................. ...
Overview | 137 Graph Algorithms Weighted graphs Model relationships where there is a numeric value known as aweightassoci- ated ...
(^138) | Chapter 6: Graph Algorithms If a path exists between any two pairs of vertices in a graph, then that graph is connected ...
Overview | 139 Graph Algorithms In Figure 6-5, a cycle exists in the path <v 3 ,v 1 ,v 5 ,v 4 ,v 2 ,v 1 ,v 5 ,v 4 ,v 2 >, ...
(^140) | Chapter 6: Graph Algorithms Each of these adjacency representations contains the same information. Suppose, however, yo ...
Overview | 141 Graph Algorithms Data Structure Design The UML diagram in Figure 6-6 represents the core functionality we expect ...
(^142) | Chapter 6: Graph Algorithms The operations from Figure 6-6 are subdivided into several categories: Create A graph can b ...
Depth-First Search | 143 Graph Algorithms The numbers on the right side of Figure 6-7 reflect the branching points of one such s ...
(^144) | Chapter 6: Graph Algorithms White Vertex has not yet been visited Gray Vertex has been visited, but it may have an adja ...
Depth-First Search | 145 Graph Algorithms Initially, all vertices are colored white, and DEPTH-FIRSTSEARCHinvokesdfs_visit on th ...
(^146) | Chapter 6: Graph Algorithms Note that this path may not be the shortest possible path—in this case the path has seven v ...
Depth-First Search | 147 Graph Algorithms Assumptions The algorithm works for undirected as well as directed graphs. Context DEP ...
(^148) | Chapter 6: Graph Algorithms If thed[]andf[]information is not needed, then the statements that compute these values (an ...
Breadth-First Search | 149 Graph Algorithms Back edges Whendfs_visit(u)encounters a vertexvthat is adjacent touand is already co ...
(^150) | Chapter 6: Graph Algorithms The remaining vertices two edges away froms, vertices {7,14,5}, are all in the queue waitin ...
Breadth-First Search | 151 Graph Algorithms Input/Output Input A graphG=(V,E) and a source vertexs∈V. The quantitynrepresents th ...
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