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» Geometric Thickness of Complete Graphs
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IPSN
2005
Springer
14 years 25 days 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
JCT
2006
69views more  JCT 2006»
13 years 7 months ago
The Bergman complex of a matroid and phylogenetic trees
We study the Bergman complex B(M) of a matroid M: a polyhedral complex which arises in algebraic geometry, but which we describe purely combinatorially. We prove that a natural su...
Federico Ardila, Caroline J. Klivans
ISAAC
2004
Springer
170views Algorithms» more  ISAAC 2004»
14 years 21 days ago
Spanners, Weak Spanners, and Power Spanners for Wireless Networks
For c ∈ R, a c-spanner is a subgraph of a complete Euclidean graph satisfying that between any two vertices there exists a path of weighted length at most c times their geometric...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
INFOCOM
2011
IEEE
12 years 11 months ago
Sharing multiple messages over mobile networks
—Information dissemination in a large network is typically achieved when each user shares its own information or resources with each other user. Consider n users randomly located...
Yuxin Chen, Sanjay Shakkottai, Jeffrey G. Andrews
LREC
2010
163views Education» more  LREC 2010»
13 years 8 months ago
Meaning Representation: From Continuity to Discreteness
This paper presents a geometric approach to meaning representation within the framework of continuous mathematics. Meaning representation is a central issue in Natural Language Pr...
Fabienne Venant