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» Lower bounds for distributed markov chain problems
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FOCS
2003
IEEE
15 years 11 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
15 years 6 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
15 years 11 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»
15 years 5 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
15 years 10 months 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