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» On Bounds for the k-Partitioning of Graphs
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CORR
2010
Springer
249views Education» more  CORR 2010»
15 years 6 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder
SODA
1997
ACM
106views Algorithms» more  SODA 1997»
15 years 7 months ago
Optimal Bounds for Matching Routing on Trees
The permutation routing problem is studied for trees under the matching model. By introducing a novel and useful (so-called) caterpillar tree partition, we prove that any permutati...
Louxin Zhang
CORR
2010
Springer
104views Education» more  CORR 2010»
15 years 6 months ago
Coloring translates and homothets of a convex body
We obtain improved upper bounds and new lower bounds on the chromatic number as a linear function of the clique number, for the intersection graphs (and their complements) of fini...
Adrian Dumitrescu, Minghui Jiang
STACS
2010
Springer
16 years 1 months ago
Large-Girth Roots of Graphs
We study the problem of recognizing graph powers and computing roots of graphs. We provide a polynomial time recognition algorithm for r-th powers of graphs of girth at least 2r + ...
Anna Adamaszek, Michal Adamaszek
DC
2010
15 years 6 months ago
An optimal maximal independent set algorithm for bounded-independence graphs
We present a novel distributed algorithm for the maximal independent set (MIS) problem.1 On bounded-independence graphs (BIG) our deterministic algorithm finishes in O(log n) time,...
Johannes Schneider, Roger Wattenhofer