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Weakly Connected Graph

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Weakly Connected Graph. The elements of such a path matrix of this graph would be random. Nodes which are having 0 indegree number of incoming edges.

Pappus Graph Wolfram Graphing Mathematics Linguistics
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Weakly connected means means that if you ignore the orientation of the edges that given any pair of vertices u v in the graph there is a path from u to v. This is exactly the same idea as in undirected graphs. The WCC algorithm finds sets of connected nodes in an undirected graph where all nodes in the same set form a connected component.

Graphs 10 Z S P W Y X R T Q Strongly connected Weakly connected v 2 v 3 v 4 v 5 v 1.

Components finds the maximal weakly or strongly connected components of a graph. Count_components does almost the same as components but returns only the number of clusters found instead of returning the actual clusters. Apr 05 2018 Given an undirected graph task is to find the minimum number of weakly connected nodes after converting this graph into directed one. According to Robbins theorem an undirected graph may be oriented in such a way that it becomes strongly connected if and only if it is 2-edge-connected.

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