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ICALP
2004
Springer
15 years 5 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
15 years 3 months 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»
15 years 1 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»
14 years 11 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»
15 years 3 months 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