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» Fibrations of Simplicial Sets
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GRC
2005
IEEE
13 years 12 months ago
Semantic based clustering of Web documents
Abstract. A new methodology that structures the semantics of a collection of documents into the geometry of a simplicial complex is developed. A simplicial complex is topologically...
Tsau Young Lin, I-Jen Chiang
DM
2007
101views more  DM 2007»
13 years 6 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
CAGD
2007
86views more  CAGD 2007»
13 years 6 months ago
A general geometric construction of coordinates in a convex simplicial polytope
Barycentric coordinates are a fundamental concept in computer graphics and geometric modeling. We extend the geometric construction of Floater’s mean value coordinates [8,11] to...
Tao Ju, Peter Liepa, Joe D. Warren
JCO
2008
153views more  JCO 2008»
13 years 6 months ago
A quadratic lower bound for colourful simplicial depth
We show that any point in the convex hull of each of (d + 1) sets of (d + 1) points in Rd is contained in at least (d + 2)2 /4 simplices with one vertex from each set.
Tamon Stephen, Hugh Thomas
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 6 months ago
Table manipulation in simplicial databases
In [Spi], we developed a category of databases in which the schema of a database is represented as a simplicial set. Each simplex corresponds to a table in the database. There, our...
David I. Spivak