A strongly connected component (SCC) of G is a subset S of V such that Example Consider the following graph: a b c d e f g h i j k l {a, b, c} is an SCC {a , b, c
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A path or circuit is simple if it does not contain the same edge more than once • Path in directed graphs is the same as in undirected graphs except that the path
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Definition: A directed graph is strongly connected if there is a path from a to b and a path from b to a whenever a and b are vertices in the graph Example: G is strongly connected because there is a path between any two vertices in the directed graph Hence, G is also weakly connected
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(Check that this is indeed an equivalence relation ) For example, in the directed graph in Figure 1, the strongly connected components are identified by the dashed
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Definition A strongly connected component of a directed graph G is a maximal set of vertices C ⊆ V such that for every pair of vertices u and v, there is a directed
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A strongly connected component (SCC) of G is a subset S of V such that Example Consider the following graph: a b c d e f g h i j k l {a, b, c} is an SCC {a , b, c
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resulting directed graph is strongly connected A possibility of orienting the directed graphs are cleaner than the corresponding ones for undirected graphs ( for
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15-0: Graphs A graph consists of: A set of nodes or vertices (terms are interchangable) A set of edges or arcs (terms are interchangable) Edges in graph can be
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