Publication 2011 Issue No. 1 - January-February Abstract - A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning Tree
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A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning Tree
January-February 2011 (vol. 8 no. 1)
pp. 1-12
 ASCII Text x Beat Gfeller, Nicola Santoro, Peter Widmayer, "A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning Tree," IEEE Transactions on Dependable and Secure Computing, vol. 8, no. 1, pp. 1-12, January-February, 2011.
 BibTex x @article{ 10.1109/TDSC.2009.17,author = {Beat Gfeller and Nicola Santoro and Peter Widmayer},title = {A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning Tree},journal ={IEEE Transactions on Dependable and Secure Computing},volume = {8},number = {1},issn = {1545-5971},year = {2011},pages = {1-12},doi = {http://doi.ieeecomputersociety.org/10.1109/TDSC.2009.17},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Dependable and Secure ComputingTI - A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning TreeIS - 1SN - 1545-5971SP1EP12EPD - 1-12A1 - Beat Gfeller, A1 - Nicola Santoro, A1 - Peter Widmayer, PY - 2011KW - Fault-tolerant routingKW - swap edgesKW - minimum-diameter spanning treeKW - distributed algorithms.VL - 8JA - IEEE Transactions on Dependable and Secure ComputingER -
Beat Gfeller, ETH Zurich, Zurich
Nicola Santoro, Carleton University, Ottawa
Peter Widmayer, ETH Zurich, Zurich
Communication in networks suffers if a link fails. When the links are edges of a tree that has been chosen from an underlying graph of all possible links, a broken link even disconnects the network. Most often, the link is restored rapidly. A good policy to deal with this sort of transient link failures is swap rerouting, where the temporarily broken link is replaced by a single swap link from the underlying graph. A rapid replacement of a broken link by a swap link is only possible if all swap links have been precomputed. The selection of high-quality swap links is essential; it must follow the same objective as the originally chosen communication subnetwork. We are interested in a minimum-diameter tree in a graph with edge weights (so as to minimize the maximum travel time of messages). Hence, each swap link must minimize (among all possible swaps) the diameter of the tree that results from swapping. We propose a distributed algorithm that efficiently computes all of these swap links, and we explain how to route messages across swap edges with a compact routing scheme. Finally, we consider the computation of swap edges in an arbitrary spanning tree, where swap edges are chosen to minimize the time required to adapt routing in case of a failure, and give efficient distributed algorithms for two variants of this problem.

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Index Terms:
Fault-tolerant routing, swap edges, minimum-diameter spanning tree, distributed algorithms.
Citation:
Beat Gfeller, Nicola Santoro, Peter Widmayer, "A Distributed Algorithm for Finding All Best Swap Edges of a Minimum-Diameter Spanning Tree," IEEE Transactions on Dependable and Secure Computing, vol. 8, no. 1, pp. 1-12, Jan.-Feb. 2011, doi:10.1109/TDSC.2009.17