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If a graph is regular of degree 0, does a Line graph exist for it?

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Is a regular graph with degree zero a discrete set? –  Sigur Feb 10 '13 at 0:02

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up vote 3 down vote accepted

Yes, it's just the graph with no vertices - its vertex set is the empty set and its edge set is the empty set. (Sometimes called the null graph.)

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Awesome thanks was just making sure I had included the 0 deg case for a proof –  DJ_ Feb 10 '13 at 1:48

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