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STOC
1990
ACM
108views Algorithms» more  STOC 1990»
15 years 8 months ago
Optimal Randomized Algorithms for Local Sorting and Set-Maxima
We present randomized algorithms for two sorting problems. In the local sorting problem, a graph is given in which each vertex is assigned an element of a total order, and the task...
Wayne Goddard, Valerie King, Leonard J. Schulman
NAACL
2007
15 years 6 months ago
Randomized Decoding for Selection-and-Ordering Problems
The task of selecting and ordering information appears in multiple contexts in text generation and summarization. For instance, methods for title generation construct a headline b...
Pawan Deshpande, Regina Barzilay, David R. Karger
DCG
2011
14 years 11 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 10 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 2 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...