- Amortization Results for Chromatic Search Trees, with an Application to Priority Queues.
- Joan Boyar, Rolf Fagerberg, and Kim S. Larsen.
Journal of Computer and System Sciences, 55(3): 504-521, 1997.
The intention in designing data structures with relaxed balance, such as
chromatic search trees,
is to facilitate fast updating on shared-memory
asynchronous parallel architectures.
To obtain this, the updating and rebalancing have been uncoupled,
so extensive locking in connection with updates is avoided.
In 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 towards 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 for a greater degree of parallelism than previous
proposals can be implemented.
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