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...
—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, ...
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...
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...