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» Hypergraphs with independent neighborhoods
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SLOGICA
2010
81views more  SLOGICA 2010»
14 years 8 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
89
Voted
VMV
2001
126views Visualization» more  VMV 2001»
14 years 11 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
61
Voted
SIAMDM
2010
87views more  SIAMDM 2010»
14 years 4 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»
15 years 2 months 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...
81
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ECCV
1996
Springer
15 years 11 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