In a simple graph must every vertex have degree that is, Mathematics

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In a simple graph must every vertex have degree that is

a. In a simple graph, must every vertex have degree that is less than the number of vertices in the graph? Why?

b. Can there be a simple graph that has four vertices each of different degrees?

c. Can there be a simple graph that has n vertices all of different degrees?

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Mathematics: In a simple graph must every vertex have degree that is

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