On independent vertices and edges of belt graphs.
Gutman, I. (1996)
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Gutman, I. (1996)
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Suppose that G is a simple, vertex-labeled graph and that S is a multiset. Then if there exists a one-to-one mapping between the elements of S and the vertices of G, such that edges in G exist if and only if the absolute difference of the corresponding vertex labels exist in S, then G is an autograph, and S is a signature for G. While it is known that many common families of graphs are autographs, and that infinitely many graphs are not autographs, a non-autograph has never been exhibited....
Simic, Slobodan K. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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