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Chapter 18 Graphs
Chapter Objectives ,[object Object],[object Object],[object Object],[object Object]
Graphs ,[object Object],[object Object],[object Object],[object Object]
Undirected Graphs ,[object Object],[object Object],[object Object]
FIGURE 18.1  An example undirected graph
Undirected Graphs ,[object Object],[object Object],[object Object],[object Object]
Undirected Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIGURE 18.2  An example undirected graph that is not connected
Undirected Graphs ,[object Object],[object Object],[object Object],[object Object]
Directed Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
FIGURE 18.3  An example directed graph
FIGURE 18.4  Connected and Unconnected Directed Graphs
Directed Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Networks ,[object Object],[object Object],[object Object],[object Object]
FIGURE 18.5   A network, or weighted graph
FIGURE 18.6  A directed network
Networks ,[object Object],[object Object]
Common Graph Algorithms ,[object Object],[object Object],[object Object],[object Object]
Common Graph Algorithms ,[object Object],[object Object],[object Object],[object Object]
Listing 18.1
Listing 18.1  (cont.)
Common Graph Algorithms ,[object Object],[object Object],[object Object],[object Object]
Listing 18.2
Listing 18.2  (cont.)
Common Graph Algorithms ,[object Object]
Common Graph Algorithms ,[object Object],[object Object]
FIGURE 18.8   Connectivity  in an undirected graph
TABLE 18.1   Breadth-first traversals for a connected undirected graph
TABLE 18.2   Breadth-first traversals  for an unconnected undirected graph
Spanning Trees ,[object Object],[object Object]
FIGURE 18.7  A sample graph
FIGURE 18.9   A spanning tree for the graph in Figure 18.7
Minimum Spanning Trees ,[object Object],[object Object]
FIGURE 18.10   A minimum spanning tree
Listing 18.3
Listing 18.3  (cont.)
Listing 18.3  (cont.)
Determining the Shortest Path ,[object Object],[object Object],[object Object]
Determining the Shortest Path ,[object Object],[object Object],[object Object],[object Object],[object Object]
Determining the Shortest Path ,[object Object],[object Object],[object Object],[object Object]
Strategies for Implementing Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Strategies for Implementing Graphs ,[object Object],[object Object],[object Object],[object Object],[object Object]
FIGURE 18.11  An undirected graph
FIGURE 18.12  An adjacency  matrix for an undirected graph
FIGURE 18.13   A directed graph
FIGURE 18.14  An adjacency  matrix for a directed graph

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Ch18