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» General Lower Bounds for the Minor Crossing Number of Graphs
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SOFSEM
1997
Springer
13 years 12 months ago
Time Optimal Self-Stabilizing Algorithms
: In this paper we rst present a general lower bound on the stabilization time which holds for a number of graph theoretic problems, including leader election, spanning tree constr...
Rastislav Kralovic
FOCS
2005
IEEE
14 years 1 months ago
Metric Embeddings with Relaxed Guarantees
We consider the problem of embedding finite metrics with slack: we seek to produce embeddings with small dimension and distortion while allowing a (small) constant fraction of al...
Ittai Abraham, Yair Bartal, Hubert T.-H. Chan, Ked...
COLT
2010
Springer
13 years 5 months ago
Active Learning on Trees and Graphs
We investigate the problem of active learning on a given tree whose nodes are assigned binary labels in an adversarial way. Inspired by recent results by Guillory and Bilmes, we c...
Nicolò Cesa-Bianchi, Claudio Gentile, Fabio...
FOCS
2006
IEEE
14 years 1 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
14 years 8 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...