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» Hardness Results for Homology Localization
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IPSN
2005
Springer
13 years 11 months ago
Coverage and hole-detection in sensor networks via homology
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
Robert Ghrist, Abubakr Muhammad
IJRR
2006
145views more  IJRR 2006»
13 years 5 months ago
Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology
ABSTRACT. We introduce tools from computational homology to verify coverage in an idealized sensor network. Our methods are unique in that, while they are coordinate-free and assum...
V. de Silva, R. Ghrist
BMCBI
2008
75views more  BMCBI 2008»
13 years 5 months ago
Re-searcher: a system for recurrent detection of homologous protein sequences
Background: Sequence searches are routinely employed to detect and annotate related proteins. However, a rapid growth of databases necessitates a frequent repetition of sequence s...
Valdemaras Repsys, Mindaugas Margelevicius, Ceslov...
GD
2004
Springer
13 years 11 months ago
Fast Algorithms for Hard Graph Problems: Bidimensionality, Minors, and Local Treewidth
Abstract. This paper surveys the theory of bidimensional graph problems. We summarize the known combinatorial and algorithmic results of this theory, the foundational Graph Minor r...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
APAL
2010
70views more  APAL 2010»
13 years 5 months ago
Locally definable homotopy
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...
Elías Baro, Margarita Otero