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DCG
2011
15 years 1 months 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
APPROX
2004
Springer
105views Algorithms» more  APPROX 2004»
15 years 11 months ago
Counting Connected Graphs and Hypergraphs via the Probabilistic Method
While it is exponentially unlikely that a sparse random graph or hypergraph is connected, with probability 1 − o(1) such a graph has a “giant component” that, given its numbe...
Amin Coja-Oghlan, Cristopher Moore, Vishal Sanwala...
MST
2010
98views more  MST 2010»
15 years 4 months ago
Why Almost All k-Colorable Graphs Are Easy to Color
Coloring a k-colorable graph using k colors (k ≥ 3) is a notoriously hard problem. Considering average case analysis allows for better results. In this work we consider the unif...
Amin Coja-Oghlan, Michael Krivelevich, Dan Vilench...
ICASSP
2011
IEEE
14 years 10 months ago
Polar randomized hough transform for lane detection using loose constraints of parallel lines
In this paper, we propose a new methodology for detecting lane markers that exploits the parallel nature of lane boundaries on the road. First, the input image is pre-processed an...
Amol Borkar, Monson Hayes, Mark T. Smith
WWW
2008
ACM
16 years 7 months ago
Behavioral classification on the click graph
A bipartite query-URL graph, where an edge indicates that a document was clicked for a query, is a useful construct for finding groups of related queries and URLs. Here we use thi...
Martin Szummer, Nick Craswell