Abstract. For a first-order formula ϕ(x; y) we introduce and study the characteristic sequence Pn : n < ω of hypergraphs defined by Pn(y1, . . . , yn) := (∃x) i≤n ϕ(x; ...
This paper presents a new approach to achieve elementary neighborhood operations on both 2D and 3D binary images by using the Extreme Vertices Model (EVM), a recent orthogonal pol...
Every 3-graph in which no four vertices are independent and no four vertices span precisely three edges must have edge density 4/9(1 - o(1)). This bound is tight. The proof is a r...
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
This paper presents a technique to determine the identity of objects in a scene using histograms of the responses of a vector of local linear neighborhood operators (receptive elds...