The Three Dimensional Logic EngineKitching, Matthew and Whitesides, Sue (2004) The Three Dimensional Logic Engine. In: Graph Drawing 12th International Symposium, GD 2004, September 29October 2, 2004 , pp. 329339(Official URL: http://dx.doi.org/10.1007/9783540318439_33). Full text not available from this repository.
Official URL: http://dx.doi.org/10.1007/9783540318439_33
AbstractWe 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 NPhard. 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.
Actions (login required)
