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What is a separable graph?

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What is a separable graph?

(a) A disconnected graph by deleting a vertex

(b) A disconnected graph by removing an edge

(c) A disconnected graph by removing one edge and a vertex

(d) A simple graph which does not contain a cycle

The question was posed to me during an online interview.

My question comes from Trees in division Trees of Discrete Mathematics

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Right option is (a) A disconnected graph by deleting a vertex

To explain: By deletion of a vertex the graph is disconnected and the graph is called separable graph and the vertex is called cut vertex.

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