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» Lower bounds for distributed markov chain problems
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FOCS
2003
IEEE
14 years 1 months ago
A Non-Markovian Coupling for Randomly Sampling Colorings
We study a simple Markov chain, known as the Glauber dynamics, for randomly sampling (proper) k-colorings of an input graph G on n vertices with maximum degree ∆ and girth g. We...
Thomas P. Hayes, Eric Vigoda
COMGEO
2008
ACM
13 years 8 months ago
Lower bounds for expected-case planar point location
Given a planar polygonal subdivision S, the point location problem is to preprocess S into a data structure so that the cell of the subdivision that contains a given query point c...
Theocharis Malamatos
COMPGEOM
2010
ACM
14 years 1 months ago
Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher-dimensional improvements
Orthogonal range reporting is the problem of storing a set of n points in d-dimensional space, such that the k points in an axis-orthogonal query box can be reported efficiently. ...
Peyman Afshani, Lars Arge, Kasper Dalgaard Larsen
ORDER
2007
89views more  ORDER 2007»
13 years 7 months ago
On-line Chain Partitioning of Up-growing Interval Orders
On-line chain partitioning problem of on-line posets has been open for the past 20 years. The best known on-line algorithm uses 5w −1 4 chains to cover poset of width w. Felsner ...
Patrick Baier, Bartlomiej Bosek, Piotr Micek
ISTCS
1993
Springer
14 years 2 days ago
Random Walks on Colored Graphs
This thesis introduces a model of a random walk on a colored undirected graph. Such a graph has a single vertex set and   distinct sets of edges, each of which has a color. A par...
Anne Condon, Diane Hernek