# Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs

@inproceedings{Dessmark1998UltrafastRP,
title={Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs},
author={Anders Dessmark and Carsten Dorgerloh and Andrzej Lingas and Juergen Wirtgen},
booktitle={IPPS/SPDP Workshops},
year={1998}
}
• Published in IPPS/SPDP Workshops 1 October 1997
• Computer Science, Mathematics
We present a first randomized $\O$$(\log^{(k)} n) time and \O$$(n + m)$ work CRCW-PRAM algorithm for finding a spanning forest of an undirected dense graph with $n$ vertices. Furthermore we construct a randomized $\O$$(\log \log n) time and \O$$(n \log n)$ work CREW-PRAM algorithm for finding spanning trees in random graphs. Our algorithm is optimal with respect to time, work and space.
1 Citations
Approximation Algorithms for Bandwidth Problems on Some Large Graph Classes
This paper presents the rst PTAS for the topological bandwidth of trees and constructs n-approximation algorithms for the bandwidth of graphs with minimum degree n, for any ; > 0.

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