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STOC
1990
ACM
108views Algorithms» more  STOC 1990»
15 years 11 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 8 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
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»
16 years 7 days 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 5 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...