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» On Homotopy Types of Alexandroff Spaces
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ORDER
2010
96views more  ORDER 2010»
13 years 5 months ago
On Homotopy Types of Alexandroff Spaces
Michal Jerzy Kukiela
DM
2007
84views more  DM 2007»
13 years 10 months ago
The topology of spaces of phylogenetic trees with symmetry
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...
Axel Hultman
INFOCOM
2010
IEEE
13 years 9 months ago
Resilient Routing for Sensor Networks Using Hyperbolic Embedding of Universal Covering Space
—We study how to characterize the families of paths between any two nodes s, t in a sensor network with holes. Two paths that can be deformed to one another through local changes...
Wei Zeng, Rik Sarkar, Feng Luo 0002, Xianfeng Gu, ...
VISUALIZATION
2005
IEEE
14 years 4 months ago
Topology-driven Surface Mappings with Robust Feature Alignment
Topological concepts and techniques have been broadly applied in computer graphics and geometric modeling. However, the homotopy type of a mapping between two surfaces has not bee...
Christopher Carner, Miao Jin, Xianfeng Gu, Hong Qi...
WADS
2007
Springer
115views Algorithms» more  WADS 2007»
14 years 4 months ago
Alpha-Beta Witness Complexes
Building on the work of Martinetz, Schulten and de Silva, Carlsson, we introduce a 2-parameter family of witness complexes and algorithms for constructing them. This family can be ...
Dominique Attali, Herbert Edelsbrunner, John Harer...