Q: What is isolated graph?

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It is a graph of isolated points - nothing more, nothing less!

A graph composed of isolated points.

A graph that has isolated points is discontinues if isolated means that a point is plotted say a but the limit as f(x) approaches a does not equal a

The term "cyclic graph" is not well-defined. If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices. If you mean a graph that is (isomorphic to) a cycle, then the answer is n. If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.

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Isolated is an adjective.

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If all the vertices and edges of a graph A are in graph B then graph A is a sub graph of B.

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