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Minimal graphs with respect to geometric distance realizability
Discussiones Mathematicae Graph Theory
A graph G is minimal non-unit-distance graph if there is no drawing of G in Euclidean plane having all edges of unit length, but, for each edge e of G, G − e has such a drawing. We prove that, for infinitely many n, the number of non-isomorphic n-vertex minimal non-unit-distance graphs is at least exponential in n.doi:10.7151/dmgt.2176 fatcat:nxtgrw57ibf27osuepb5sszwey