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SLOGICA
2010
81views more  SLOGICA 2010»
13 years 6 months ago
Theories with the Independence Property
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; ...
M. L. J. van de Vel
VMV
2001
126views Visualization» more  VMV 2001»
13 years 9 months ago
Erosion and Dilation on 2-D and 3-D Digital Images: A New Size-Independent Approach
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...
Jorge Rodríguez, Dolors Ayala
SIAMDM
2010
87views more  SIAMDM 2010»
13 years 2 months ago
On 3-Hypergraphs with Forbidden 4-Vertex Configurations
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...
Alexander A. Razborov
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
14 years 28 days ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
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...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
ECCV
1996
Springer
14 years 9 months ago
Object Recognition Using Multidimensional Receptive Field Histograms
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...
Bernt Schiele, James L. Crowley