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arXiv · 2007.02427

Compact Oblivious Routing in Weighted Graphs

Philipp Czerner·Harald Räcke
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Abstract

The space-requirement for routing-tables is an important characteristic of routing schemes. For the cost-measure of minimizing the total network load there exist a variety of results that show tradeoffs between stretch and required size for the routing tables. This paper designs compact routing schemes for the cost-measure congestion, where the goal is to minimize the maximum relative load of a link in the network (the relative load of a link is its traffic divided by its bandwidth). We show that for arbitrary undirected graphs we can obtain oblivious routing strategies with competitive ratio $\tilde{\mathcal{O}}(1)$ that have header length $\tilde{\mathcal{O}}(1)$, label size $\tilde{\mathcal{O}}(1)$, and require routing-tables of size $\tilde{\mathcal{O}}(\operatorname{deg}(v))$ at each vertex $v$ in the graph. This improves a result of R\"acke and Schmid who proved a similar result in unweighted graphs.

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BibTeXRIS

Philipp Czerner, Harald Räcke. 2020-07-05. Compact Oblivious Routing in Weighted Graphs. https://doi.org/10.4230/lipics.esa.2020.36

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