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Amortization Results for Chromatic Search Trees, with an Application to Priority Queues (1997)  (Make Corrections)  (1 citation)
Joan Boyar, Rolf Fagerberg, Kim S. Larsen
Journal of Computer and System Sciences



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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" }
Citations (may not include all citations):
452   Data Structures and Algorithms (context) - Aho, Hopcroft et al. - 1983
198   Organization and maintenance of large ordered indexes (context) - Bayer, McCreight - 1972
157   Scheduling multithreaded computations by work stealing - Blumofe, Leiserson - 1994
124   A dichromatic framework for balanced trees (context) - Guibas, Sedgewick - 1978
80   Efficient locking for concurrent operations on B-trees (context) - Lehman, Yao - 1981
67   A new data structure for representing sorted lists (context) - Huddleston, Mehlhorn - 1982
62   An empirical comparison of priority-queue and event-set impl.. (context) - Jones - 1986
48   Concurrent access of priority queues - Rao, Kumar - 1988
48   trees: data structure and maintenance algorithms (context) - Bayer, B- - 1972
42   Algorithm 232: Heapsort (context) - Williams - 1964
38   Concurrent operations on priority queues (context) - Jones - 1989
34   trees with overtaking (context) - Sagiv, on - 1986
31   Simultaneous update of priority structures (context) - Biswas, Browne - 1987
25   Concurrency control in database structures with relaxed bala.. (context) - Nurmi, Soisalon-Soininen et al. - 1987
22   Concurrent manipulation of binary search trees (context) - Kung, Lehman - 1980
22   fly optimization of data structures (context) - Kessels - 1983
17   AVL trees with relaxed balance - Larsen - 1994
14   Efficient rebalancing of chromatic search trees - Boyar, Larsen - 1994
13   Uncoupling updating and rebalancing in chromatic binary sear.. (context) - Nurmi, Soisalon-Soininen - 1991
13   the selection of access paths in a data base system (context) - Wedekind - 1974
12   A new method for concurrency in B-trees (context) - Kwong, Wood - 1982
11   trees with relaxed balance (context) - Larsen, Fagerberg et al. - 1996
11   trees in a system with multiple users (context) - Samadi - 1976
10   Amortization results for chromatic search trees (context) - Boyar, Fagerberg et al. - 1995
4   unpublished work on 2-3 trees (context) - Hopcroft - 1970
4   An Efficient Algorithm for Balancing Binary Search Trees (context) - Malmi - 1992
2   An algorithm for the organisation of information (context) - Adel'son-Vel'ski, Landis - 1962

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