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Which of the following statement is true.

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in Data Structures & Algorithms I by (88.7k points)
Which of the following statement is true.

(a) There exists a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

(b) There exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

(c) There exists a MultiGraph as well as a Simple Graph having 10 vertices such

1 Answer

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Right answer is (b) There exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9

The best explanation: If a vertex has a degree 9 that means it is connected to all the other vertices, in case of Multigraphs for an isolate vertex, and a multiple edge may compensate.

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