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NAR
2007
109views more  NAR 2007»
9 years 6 months ago
GeneTrees: a phylogenomics resource for prokaryotes
The GeneTrees phylogenomics system pursues comparative genomic analyses from the perspective of gene phylogenies for individual genes. The GeneTrees project has the goal of provid...
Yuying Tian, Allan W. Dickerman
EJC
2002
9 years 6 months ago
Homology of Newtonian Coalgebras
Given a Newtonian coalgebra we associate to it a chain complex. The homology groups of this Newtonian chain complex are computed for two important Newtonian coalgebras arising in ...
Richard Ehrenborg, Margaret Readdy
CORR
2010
Springer
91views Education» more  CORR 2010»
9 years 7 months ago
Invariance properties of the multidimensional matching distance in Persistent Topology and Homology
Abstract. Persistent Topology studies topological features of shapes by analyzing the lower level sets of suitable functions, called filtering functions, and encoding the arising i...
Andrea Cerri, Patrizio Frosini
ACS
2007
9 years 7 months ago
Directed Algebraic Topology, Categories and Higher Categories
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
Marco Grandis
COMPGEOM
2010
ACM
9 years 12 months ago
Approximating loops in a shortest homology basis from point data
Inference of topological and geometric attributes of a hidden manifold from its point data is a fundamental problem arising in many scientific studies and engineering application...
Tamal K. Dey, Jian Sun, Yusu Wang
GBRPR
2007
Springer
10 years 1 months ago
Computing Homology Group Generators of Images Using Irregular Graph Pyramids
We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hiera...
Samuel Peltier, Adrian Ion, Yll Haxhimusa, Walter ...
ICPR
2008
IEEE
10 years 1 months ago
Linear time recognition algorithms for topological invariants in 3D
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify...
Li Chen, Yongwu Rong
COMPGEOM
2009
ACM
10 years 1 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
CCA
2009
Springer
10 years 1 months ago
Computability of Homology for Compact Absolute Neighbourhood Retracts
In this note we discuss the information needed to compute the homology groups of a topological space. We argue that the natural class of spaces to consider are the compact absolut...
Pieter Collins
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