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Design a linear-time algorithm which, given an undirected graph G and a particular edge
Chapter 3, Problem 3.11(choose chapter or problem)
Design a linear-time algorithm which, given an undirected graph \(G\) and a particular edge \(e\) in it, determines whether \(G\) has a cycle containing \(e\).
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QUESTION:
Design a linear-time algorithm which, given an undirected graph \(G\) and a particular edge \(e\) in it, determines whether \(G\) has a cycle containing \(e\).
ANSWER:Step 1 of 3
A graph \(G\) is a set of vertices \(v\) and edges \(E\). In the undirected graph, the edges in the graph are not directed. The edges in the undirected graph are bidirectional.
For a given graph \(G\), the edge \(e(a, b)\) is present in the cycle of the graph, only if there exists a path from vertex \(a\) to vertex b after removing the edge \(e\).
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