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JSC
2007
84views more  JSC 2007»
13 years 4 months ago
Simplicial cycles and the computation of simplicial trees
We generalize the concept of a cycle from graphs to simplicial complexes. We show that a simplicial cycle is either a sequence of facets connected in the shape of a circle, or is ...
Massimo Caboara, Sara Faridi, Peter Selinger
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 4 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
COCOA
2008
Springer
13 years 6 months ago
Simplicial Powers of Graphs
In a finite simple undirected graph, a vertex is simplicial if its neighborhood is a clique. We say that, for k 2, a graph G = (VG, EG) is the k-simplicial power of a graph H = (V...
Andreas Brandstädt, Van Bang Le