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» Bounds on generalized Frobenius numbers
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COMPGEOM
2009
ACM
14 years 10 days ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
FOCS
1993
IEEE
13 years 11 months ago
A Tight Lower Bound for k-Set Agreement
: Weprove tight bounds on the time needed to solve k-set agreement, a natural generalization of consensus. We analyze this problem in a synchronous, message-passing model where pro...
Soma Chaudhuri, Maurice Herlihy, Nancy A. Lynch, M...
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 11 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
AAAI
2006
13 years 9 months ago
Improved Bounds for Computing Kemeny Rankings
Voting (or rank aggregation) is a general method for aggregating the preferences of multiple agents. One voting rule of particular interest is the Kemeny rule, which minimizes the...
Vincent Conitzer, Andrew J. Davenport, Jayant Kala...
ECCC
2011
185views ECommerce» more  ECCC 2011»
13 years 2 months ago
Property Testing Lower Bounds via Communication Complexity
We develop a new technique for proving lower bounds in property testing, by showing a strong connection between testing and communication complexity. We give a simple scheme for r...
Eric Blais, Joshua Brody, Kevin Matulef