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COMPGEOM
2004
ACM
14 years 1 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
NSF
1994
Springer
151views Computer Vision» more  NSF 1994»
13 years 11 months ago
Algebraic Geometry and Object Representation in Computer Vision
The goal of algebraic geometry is to gain an understanding of the behaviour of functions related by polynomial relationships. Algebraic curves and surfaces having considerable adva...
Sylvain Petitjean
STACS
1995
Springer
13 years 11 months ago
The Number of Views of Piecewise-Smooth Algebraic Objects
Abstract. A solid object in 3-dimensional space may be described by a collection of all its topologically distinct 2-dimensional appearances, its aspect graph. In this paper, we st...
Sylvain Petitjean
JCT
2007
95views more  JCT 2007»
13 years 7 months ago
Codegree problems for projective geometries
The codegree density γ(F) of an r-graph F is the largest number γ such that there are F-free r-graphs G on n vertices such that every set of r−1 vertices is contained in at le...
Peter Keevash, Yi Zhao
IPMI
2011
Springer
12 years 11 months ago
Learning an Atlas of a Cognitive Process in Its Functional Geometry
In this paper we construct an atlas that captures functional characteristics of a cognitive process from a population of individuals. The functional connectivity is encoded in a lo...
Georg Langs, Danial Lashkari, Andrew Sweet, Yanmei...