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» Geometric Thickness of Complete Graphs
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COMGEO
2007
ACM
13 years 7 months ago
Geometric spanners with applications in wireless networks
In this paper we investigate the relations between spanners, weak spanners, and power spanners in RD for any dimension D and apply our results to topology control in wireless netw...
Christian Schindelhauer, Klaus Volbert, Martin Zie...
CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 7 months ago
Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes
Abstract. We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert va...
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. ...
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
13 years 8 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
CCCG
2008
13 years 8 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...
IPMI
2009
Springer
14 years 8 months ago
Persistence Diagrams of Cortical Surface Data
We present a novel framework for characterizing signals in images using techniques from computational algebraic topology. This technique is general enough for dealing with noisy mu...
Moo K. Chung, Peter Bubenik, Peter T. Kim