NDLI: Compact Routing with Name Independence

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Rajaraman, Rajmohan Arias, Marta Taka, Orjeta Laing, Kofi A. Cowen, Lenore J.
Copyright Year	2006
Abstract	This paper is concerned with compact routing schemes for arbitrary undirected networks in the nameindependent model first introduced by Awerbuch, BarNoy, Linial, and Peleg. A compact routing scheme that uses local routing tables of size $\~{O}(n^{1/2})$, $O(\log^2 n)$sized packet headers, and stretch bounded by 5 is obtained, where n is the number of nodes in the network. We use the notation $\~{O}\left(f(n)\right)$ to represent $O(f(n)\log^c{n})$, where c is an arbitrary nonnegative real number, independent of n. Alternative schemes reduce the packet header size to $O(\log n)$ at the cost of either increasing the stretch to 7 or increasing the table size to $\~{O}(n^{2/3})$. For smaller tablesize requirements, the ideas in these schemes are generalized to a scheme that uses $O(\log^2 n)$sized headers and ${O}(k^2n^{2/k})$sized tables, and achieves a stretch of $\min\{1 + (k-1)(2^{k/2}-2), 16k^2-8k\}$, improving the best previously known nameindependent scheme due to Awerbuch and Peleg.
Starting Page	705
Ending Page	726
Page Count	22
File Format	PDF
ISSN	08954801
DOI	10.1137/04062053
e-ISSN	10957146
Journal	SIAM Journal on Discrete Mathematics (SJDMEC)
Issue Number	3
Volume Number	20
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-09-29
Access Restriction	Subscribed
Subject Keyword	name independence stretch Distance in graphs routing table Network design and communication networks compact routing Distributed algorithms
Content Type	Text
Resource Type	Article
Subject	Mathematics

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