Self-stabilizing Algorithms for Sorting and Heapification

Document Type

Conference Proceeding

Publication Date

4-18-2008

Publication Title

IEEE International Symposium on Parallel and Distributed Processing

Volume

2008

Abstract

We present two space and time efficient asynchronous distributed self-stabilizing algorithms. The first sorts an oriented chain network and the second heapifies a rooted tree network. The time complexity of both solutions is linear — in terms of the nodes (for the chain) and height (for the tree). The chain sorting algorithm uses O(m) bits per process where m represents the number of bits required to store any value in the network. The heapify algorithm needs O(m·D) bits per process where D is the degree of the tree.

Language

english

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