Suppose r and s are any positive integers. Does there

Chapter 10, Problem 38E

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Suppose r and s are any positive integers. Does there exist a graph G with the property that G has vertices of degrees r and s and of no other degrees? Explain.Definition: If G is a simple graph, the complement of G, denoted G', is obtained as follows: The vertex set of G' is identical to the vertex set of G. However, two distinct vertices v and w of G' are connected by an edge if, and only if, v and w are not connected by an edge in G. For example, if G is the graphthen G' is

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