true or false Can a simple connected graph of n vertices and n-1 edges admit a...

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Question

Can a simple connected graph of n vertices and n-1 edges admit a chain or an Eulerian turn.

true or false

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Answer 1

Answer #1

Solution

Answer

False

Explanation

The minimum number of edges needed to make a graph of n vertices connected is n-1 edges if we remove one edge from the graph G will make the graph disconnected

Therefore connected graph of n vertices & n-1 edges cannot admit a chain

Example

a b с d

Hence Answer is False

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Answer 2

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