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DCG
2011
13 years 23 days ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
CORR
2010
Springer
154views Education» more  CORR 2010»
13 years 2 months ago
Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems
Constraint Satisfaction Problems (CSP) constitute a convenient way to capture many combinatorial problems. The general CSP is known to be NP-complete, but its complexity depends on...
Florian Richoux
MST
2006
99views more  MST 2006»
13 years 5 months ago
Complexity of the Exact Domatic Number Problem and of the Exact Conveyor Flow Shop Problem
We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of...
Tobias Riege, Jörg Rothe
TMC
2008
127views more  TMC 2008»
13 years 5 months ago
Time and Energy Complexity of Distributed Computation of a Class of Functions in Wireless Sensor Networks
We consider a scenario in which a wireless sensor network is formed by randomly deploying n sensors to measure some spatial function over a field, with the objective of computing a...
Nilesh Khude, Anurag Kumar, Aditya Karnik
INFOCOM
2005
IEEE
13 years 11 months ago
Time and energy complexity of distributed computation in wireless sensor networks
— We consider a scenario where a wireless sensor network is formed by randomly deploying n sensors to measure some spatial function over a field, with the objective of computing...
Nilesh Khude, Anurag Kumar, Aditya Karnik