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Exceptional sets of projections, unions of k-planes, and associated transforms
dimension projection k-plane Fourier transform
2011/9/20
Abstract: We prove a generalization of a result of Peres and Schlag on the dimensions of certain exceptional sets of projections and then apply it to a geometric problem.
Let G be a 2-connected simple graph of order n. In this paper we prove the following generalization of Ore's theorem: If G is a 2-connected graph such that |N(u) \cup N(v)|+|N(u) \cup N(w)| ≥ n for ev...