(Enter summary)
Abstract: this paper, we prove that only an amortized
constant amount of rebalancing is necessary after an update in a
chromatic search tree. We also prove that the amount of rebalancing
done at any particular level decreases exponentially, going from the
leaves toward the root. These results imply that, in principle, a linear
number of processes can access the tree simultaneously. We have
included one interesting application of chromatic trees. Based on these
trees, a priority queue with possibilities... (Update)
Context of citations to this paper: More
...rebalancing operations per update is O(log(n i) if i insertions are performed on a tree which initially contains n leaves. Boyar et al. [3] prove for a slightly modified set of rebalancing operations that only an amortized constant amount of rebalancing is necessary after...
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BibTeX entry: (Update)
Boyar, J., Fagerberg, R., Larsen, K.: "Amortization Results for Chromatic Search Trees, with an Application to Priority Queues"; 4th International Workshop on Algorithms and Data Structures, Lecture Notes in Computer Science, 955 (1995), 270--281. http://citeseer.ist.psu.edu/boyar97amortization.html More
@article{ boyar97amortization,
author = "Joan Boyar and Rolf Fagerberg and Kim S. Larsen",
title = "Amortization Results for Chromatic Search Trees, with an Application to Priority Queues",
journal = "Journal of Computer and System Sciences",
volume = "55",
number = "3",
pages = "504-521",
year = "1997",
url = "citeseer.ist.psu.edu/boyar97amortization.html" }
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