(Enter summary)
Abstract: this paper we consider networks made of gates of
constant size. We focus of non-expansive networks (to
be defined below). The problems of evaluating the
gate to which a network converges, and of finding a
stable configuration in a network, are quite simple in
the context of sequential computation; they can all be
solved in linear time in the scatter-free case (a special
case, Mayr and Subramanian [5]), and in quadratic
time in the general nonexpansive case (Feder [1]). An
interesting question... (Update)
Context of citations to this paper: More
...the above iteration algorithm is quite straightforward. An algorithm to find a stable matching in O( parallel iterations was given in [17]; however that algorithm is more complicated and not efficient for realistic values of . We now address the second disadvantage of CCF,...
.... solving a stable marriage problem, and the best known parallel algorithm for the stable marriage problem, due to Feder, Megiddo, and Plotkin [6], has complexity O( # n log n) and uses n processors. Furthermore, this algorithm is extremely complicated: it is based on...
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BibTeX entry: (Update)
T. Feder, N. Megiddo, and S. Plotkin. "A sublinear parallel algorithm for stable matching." Fifth ACM-SIAM Symposium on Discrete Algorithms, p. 632-637 (1994). http://citeseer.ist.psu.edu/article/feder94sublinear.html More
@article{ feder00sublinear,
author = "Tom{\'a}s Feder and Nimrod Megiddo and Serge A. Plotkin",
title = "A sublinear parallel algorithm for stable matching",
journal = "Theoretical Computer Science",
volume = "233",
number = "1--2",
pages = "297--308",
year = "2000",
url = "citeseer.ist.psu.edu/article/feder94sublinear.html" }
Citations (may not include all citations):
140
Interior path following primal-dual algorithms, Part I: Line.. (context) - Monteiro, Adler - 1989
101
Pathways to the optimal set in linear programming (context) - Megiddo - 1988
73
A polynomial-- time algorithm for a class of linear compleme.. (context) - Kojima, Mizuno et al. - 1989
34
The Stable Marriage Problem: Structure and Algorithms (context) - Gusfield, Irving - 1989
12
The complexity of circuit value and network stability (context) - Mayr, Subramanian - 1992
12
A new approach to stable matching problems (context) - Subramanian - 1989
8
Stable Networks and Product Graphs (context) - Feder - 1991
5
Using interior-point methods for fast parallel algorithms fo..
- Goldberg, Plotkin et al. - 1992
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A General NP-Completeness Theorem - Megiddo (1993)
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On the Complexity of Some Geometric Problems in Unbounded Dimension - Megiddo (1990)
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