Abstract
Given a weighted undirected network with arbitrary node names, we present a compact routing scheme, using a(n,) space routing table at each node, and routing along paths of stretch 3, that is, at most thrice as long as the minimum cost 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 (n,)space per node.
Original language | English |
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Article number | 37 |
Journal | ACM Transactions on Algorithms |
Volume | 4 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jun 2008 |
Bibliographical note
Funding Information:This work was supported in part by a Grant-in-Aid for Scientific Research of Japan Society for the Promotion of Science: KAKENHI (No. 11691202 and No. 11557092 to Hironobu Yanagie), and a Grant-in-Aid from Japan Agency for Medical Research & Development (No. H26-083 to Hironobu Yanagie).
Keywords
- Compact routing