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MFCS
2007
Springer
14 years 1 months ago
Traces of Term-Automatic Graphs
In formal language theory, many families of languages are defined using grammars or finite acceptors like pushdown automata and Turing machines. For instance, context-sensitive l...
Antoine Meyer
COMPGEOM
2010
ACM
14 years 18 days ago
Output-sensitive algorithm for the edge-width of an embedded graph
Let G be an unweighted graph of complexity n cellularly embedded in a surface (orientable or not) of genus g. We describe improved algorithms to compute (the length of) a shortest...
Sergio Cabello, Éric Colin de Verdiè...
MFCS
2009
Springer
14 years 2 months ago
Balanced Paths in Colored Graphs
We consider finite graphs whose edges are labeled with elements, called colors, taken from a fixed finite alphabet. We study the problem of determining whether there is an infi...
Alessandro Bianco, Marco Faella, Fabio Mogavero, A...
PAMI
2006
141views more  PAMI 2006»
13 years 7 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee
CORR
2010
Springer
190views Education» more  CORR 2010»
13 years 7 months ago
Overlap properties of geometric expanders
The overlap number of a finite (d + 1)-uniform hypergraph H is the largest constant c(H) (0, 1] such that no matter how we map the vertices of H into Rd , there is a point covered...
Jacob Fox, Mikhail Gromov, Vincent Lafforgue, Assa...