Graph in which every node is pivotal for at least two nodes

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(a) Give an example of a graph in which every node is pivotal for at least one pair of nodes. Explain your answer.

(b) Give an example of a graph in which every node is pivotal for at least two di fferent pairs of nodes. Explain your answer.

(c) Give an example of a graph having at least four nodes in which there is a single node X that is pivotal for every pair of nodes (not counting pairs that include X). Explain your answer.

Reference no: EM1353636

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