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Practical Compact Routing on Sparse Graphs

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posted on 17.11.2021, 08:11 authored by Kai HormannKai Hormann, Craig Gotsman
We describe a simple and practical algorithm for compact routing on graphs which admit compact and balanced vertex separators. Using a recursive nested dissection of then-vertex graph based on these separators, we construct routing tables with as few as O(log n) entries per vertex in a preprocessing step. They support handshaking-based routing on the graph with moderate stretch, where the handshaking can be implemented similarly to a DNS lookup. We describe a basic version of the algorithm that requires modifiable headers and a more advanced version which eliminates this need and provides better stretch. A number of algorithmic parameters control a graceful tradeoff between the size of the routing tables and the stretch. Our routing algorithm is most effective on planar graphs and unit disk graphs of moderate edge/vertex density.

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Email Address of Submitting Author

kai.hormann@usi.ch

ORCID of Submitting Author

0000-0001-6455-4246

Submitting Author's Institution

Università della Svizzera italiana

Submitting Author's Country

Switzerland

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