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EJC
2007
13 years 7 months ago
The origins of combinatorics on words
We investigate the historical roots of the field of combinatorics on words. They comprise applications and interpretations in algebra, geometry and combinatorial enumeration. The...
Jean Berstel, Dominique Perrin
ICCV
2007
IEEE
14 years 9 months ago
A Symmetry-Based Generative Model for Shape
We propose a novel generative language for shape that is based on the shock graph: given a shock graph topology, we explore constraints on the geometry and dynamics of the shock g...
Nhon H. Trinh, Benjamin B. Kimia
CVPR
2005
IEEE
14 years 9 months ago
Graph Embedding: A General Framework for Dimensionality Reduction
In the last decades, a large family of algorithms supervised or unsupervised; stemming from statistic or geometry theory have been proposed to provide different solutions to the p...
Shuicheng Yan, Dong Xu, Benyu Zhang, HongJiang Zha...
COMPGEOM
2003
ACM
14 years 29 days ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
COMPGEOM
2010
ACM
14 years 24 days ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...