Given a weighted undirected network with arbitrary node names, we present a compact routing scheme, using a e O(\u221an) space routing table at each node, and routing along paths of stretch 3, that is, at most thrice as long as the shortest paths. This is optimal in a very strong sense. It is known that no compact routing using o(n) space per node can route with stretch below 3. Also, it is known that any stretch below 5 requires \u2126(\u221an) space per node.<\/p>\n","protected":false},"excerpt":{"rendered":"
Given a weighted undirected network with arbitrary node names, we present a compact routing scheme, using a e O(\u221an) space routing table at each node, and routing along paths of stretch 3, that is, at most thrice as long as the shortest paths. This is optimal in a very strong sense. 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