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Let G be an undirected connected graph with distinct edge weights . Let emax be the edge with maximum weight and emin be the edge with minimum weight. Which of the following statements is false.

Let G be an undirected connected graph with distinct edge weights . Let emax be the edge with maximum weight and emin be the edge with minimum weight. Which of the following statements is false. Correct Answer No minimum spanning tree contains e<sub>max</sub>

Concept:

A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges(V – 1 ) of a connected, edge-weighted undirected graph G(V, E) that connects all the vertices together, without any cycles and with the minimum possible total edge weight.

Example:

It cannot always be the case that the edge with emax should not be present in MST.

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emax is present in MST.

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