August 2017
Beginner to intermediate
340 pages
8h 42m
English
Content preview from Mastering Machine Learning with Spark 2.x
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Connected components
Another important property of graphs is that of connectivity. A graph is said to be connected if there is a path of edges connecting any two vertices we choose, regardless of the edge directions. So, for directed graphs, we completely neglect the directions for this definition. What can be a stricter definition of connectivity used for directed graphs? A graph is said to be strongly connected if any two vertices are connected by a directed chain of edges. Note that strong connectivity is a very strong assumption to impose on a directed graph. In particular, any strongly connected graph is cyclic. These definitions allow us to define the closely related concept of (strongly) connected components. Every graph can be decomposed ...
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