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ICALP
2004
Springer
14 years 1 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
ICALP
2000
Springer
14 years 1 days ago
An Optimal Minimum Spanning Tree Algorithm
We establish that the algorithmic complexity of the minimum spanning tree problem is equal to its decision-tree complexity. Specifically, we present a deterministic algorithm to fi...
Seth Pettie, Vijaya Ramachandran
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 10 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
CORR
2006
Springer
166views Education» more  CORR 2006»
13 years 8 months ago
Bounding the Bias of Tree-Like Sampling in IP Topologies
Abstract. It is widely believed that the Internet's AS-graph degree distribution obeys a power-law form. However, it was recently argued that since Internet data is collected ...
Reuven Cohen, Mira Gonen, Avishai Wool
SWAT
1990
Springer
75views Algorithms» more  SWAT 1990»
14 years 14 days ago
Finding the k Smallest Spanning Trees
We give improved solutions for the problem of generating the k smallest spanning trees in a graph and in the plane. Our algorithm for general graphs takes time O(m log (m, n) + k2...
David Eppstein