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» Counting connected graphs asymptotically
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DCG
2011
13 years 7 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
PARA
2004
Springer
13 years 10 months ago
Counting the Number of Connected Components of a Set and Its Application to Robotics
This paper gives a numerical algorithm able to compute the number of path-connected components of a set S defined by nonlinear inequalities. This algorithm uses interval analysis ...
Nicolas Delanoue, Luc Jaulin, Bertrand Cottenceau
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
13 years 5 months ago
Minimum Connected Dominating Sets of Random Cubic Graphs
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
William Duckworth
IPPS
2006
IEEE
13 years 11 months ago
Concurrent counting is harder than queuing
In both distributed counting and queuing, processors in a distributed system issue operations which are organized into a total order. In counting, each processor receives the rank...
Srikanta Tirthapura, Costas Busch
FOCS
2007
IEEE
13 years 11 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda