TY - GEN ID - gdea_3599 UR - http://gdea.informatik.uni-koeln.de/599/ A1 - Kitching, Matthew A1 - Whitesides, Sue Y1 - 2004/// N2 - We consider the following graph embedding question: given a graph G, is it possible to map its vertices to points in 3D such that G is isomorphic to the mutual nearest neighbor graph of the set P of points to which the vertices are mapped? We show that this problem is NP-hard. We do this by extending the "logic engine" method to three dimensions by using building blocks inpired by the structure of diamond and by constructions of A.G. Bell and B. Fuller. PB - Springer TI - The Three Dimensional Logic Engine SP - 329 AV - none EP - 339 ER -