DocumentCode :
3124406
Title :
On Succinctness of Geometric Greedy Routing in Euclidean Plane
Author :
Cao, Lei ; Strelzoff, Andrew ; Sun, Jonathan Z.
Author_Institution :
Dept. of Electr. Eng., Univ. of Mississippi, Oxford, MS, USA
fYear :
2009
fDate :
14-16 Dec. 2009
Firstpage :
326
Lastpage :
331
Abstract :
Geometric greedy routing uses (virtual) geographic point locations as addresses for the purposes of routing, while routing decisions are made by each node individually based only on local information. It requires that the network topology is greedily embedded in a metric space through assigning virtual coordinates to the nodes in the network. Recent research pointed out that such scheme is significantly more efficient than other traditional routing schemes only if the virtual coordinates are succinctly represented (i.e., using O(poly(log n)) bits per coordinate) in the greedy embedding, an issue that has been overlooked for a long time. In this paper we prove that such succinctness is not achievable in Euclidean plane, assuming that Cartesian or polar coordinate system is used, the network topology is a planar graph, and the planar embedding is preserved during the process of greedy embedding. Indeed, we provide a counter example to show that in this situation, some coordinates must take ¿(n) bits to represent.
Keywords :
greedy algorithms; telecommunication network routing; telecommunication network topology; euclidean plane; geographic point locations; geometric greedy routing; greedy embedding; greedy routing algorithm; network topology; planar graph; virtual coordinates; Ad hoc networks; Computer networks; Counting circuits; Extraterrestrial measurements; Network topology; Packaging; Peer to peer computing; Pervasive computing; Routing; Sun; complexity; coordinate; geometric routing; greedy embedding;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Pervasive Systems, Algorithms, and Networks (ISPAN), 2009 10th International Symposium on
Conference_Location :
Kaohsiung
Print_ISBN :
978-1-4244-5403-7
Type :
conf
DOI :
10.1109/I-SPAN.2009.20
Filename :
5381880
Link To Document :
بازگشت