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Geocasting with guaranteed delivery in sensor networks
 IEEE Wireless Communications
, 2004
"... In a geocasting problem, a message is sent from one node to all the nodes located in a designated region. For example, monitoring center needs to contact all active sensors within a monitored area to either gather data from them periodically, or to provide its location to sensors covering certain ar ..."
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Cited by 31 (2 self)
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In a geocasting problem, a message is sent from one node to all the nodes located in a designated region. For example, monitoring center needs to contact all active sensors within a monitored area to either gather data from them periodically, or to provide its location to sensors covering certain area for event reporting. Intelligent flooding methods exist for this task when all active sensors belong to the monitored area. However, when a particular area containing only a small subset of active sensors needs to be monitored, the problem reduces to geocasting. Most existing geocasting solutions are shown not to guarantee delivery. We then describe three approaches to guarantee delivery. Two of them are face traversal schemes and are based on depthfirst search of the face tree and traversal of all faces that intersect the border of geocasting region, respectively. In the entrance zone multicasting based approach, the monitoring center divides entrance ring of geocast region into zones of diameter equal to the transmission radius. The problem is decomposed into multicasting toward centers of each zone, and flooding from these nodes. Improvements to all methods can be made by applying neighbor or area dominating sets and coverage, and converting nodes that are not selected to sleep mode. All solutions that guarantee delivery are reported here for the first time (except a message inefficient version of face tree traversal scheme). 1.
Routing with guaranteed delivery in geometric and wireless networks
 in Handbook of Wireless Networks and Mobile Computing, I. Stojmenovic, Ed. New York:Wiley
, 2002
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Compact Routing for Graphs Excluding a Fixed Minor (Extended Abstract)
, 2005
"... This paper concerns compact routing schemes with arbitrary node names. We present a compact nameindependent routing scheme for unweighted networks with n nodes excluding a fixed minor. For any fixed minor, the scheme, constructible in polynomial time, has constant stretch factor and requires routin ..."
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Cited by 19 (8 self)
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This paper concerns compact routing schemes with arbitrary node names. We present a compact nameindependent routing scheme for unweighted networks with n nodes excluding a fixed minor. For any fixed minor, the scheme, constructible in polynomial time, has constant stretch factor and requires routing tables with polylogarithmic number of bits at each node. For shortestpath labeled routing scheme in planar graphs, we prove an Ω(n ɛ) space lower bound for some constant ɛ>0. This lower bound holds even for bounded degree triangulations, and is optimal for polynomially weighted planar graphs (ɛ =1/2).
Computing the maximum detour and spanning ratio of planar chains, trees and cycles
 In Proc. 19th Internat. Symp. Theor. Aspects of C.Sc., LNCS 2285:250–261
, 2002
"... Let G = (V, E) be an embedded connected graph with n vertices and m edges. Specifically, the vertex set V consists of points in R 2, and E consists ..."
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Cited by 19 (0 self)
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Let G = (V, E) be an embedded connected graph with n vertices and m edges. Specifically, the vertex set V consists of points in R 2, and E consists
Distributed computation of virtual coordinates
 In Proc. 23rd Symp. Computational Geometry (SoCG ’97
, 2007
"... Sensor networks are emerging as a paradigm for future computing, but pose a number of challenges in the fields of networking and distributed computation. One challenge is to devise a greedy routing protocol – one that routes messages through the network using only information available at a node o ..."
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Cited by 13 (1 self)
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Sensor networks are emerging as a paradigm for future computing, but pose a number of challenges in the fields of networking and distributed computation. One challenge is to devise a greedy routing protocol – one that routes messages through the network using only information available at a node or its neighbors. Modeling the connectivity graph of a sensor network as a 3connected planar graph, we describe how to compute on the network in a distributed and local manner a special geometric embedding of the graph. This embedding supports a geometric routing protocol based on the ”virtual ” coordinates of the nodes derived from the embedding.
Improved Compact Routing Tables for Planar Networks via Orderly Spanning Trees
 In: 8 th Annual International Computing & Combinatorics Conference (COCOON). Volume 2387 of LNCS
, 2002
"... We address the problem of designing compact routing tables for an unlabeled connected nnode planar network G. For each node r of G, the designer is given a routing spanning tree Tr of G rooted at r, which speci es the routes for sending packets from r to the rest of G. ..."
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Cited by 12 (3 self)
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We address the problem of designing compact routing tables for an unlabeled connected nnode planar network G. For each node r of G, the designer is given a routing spanning tree Tr of G rooted at r, which speci es the routes for sending packets from r to the rest of G.
A Position Based Ant Colony Routing Algorithm for Mobile Adhoc Networks
 Journal of Networks
, 2008
"... Abstract — Position based routing algorithms use the knowledge of the position of nodes for routing of packets in mobile adhoc networks. Previously proposed position based routing algorithms may fail to find a route from a source to a destination in some types of adhoc networks and if they find a ..."
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Abstract — Position based routing algorithms use the knowledge of the position of nodes for routing of packets in mobile adhoc networks. Previously proposed position based routing algorithms may fail to find a route from a source to a destination in some types of adhoc networks and if they find a route, it may be much longer than the shortest path. On the other hand, routing algorithms which are based on ant colony optimization find routing paths that are close in length to the shortest paths. The drawback of these algorithms is the large number of control messages that needs to be sent or the long delay before the routes are established from a source to a destination. In this paper we propose a new reactive routing algorithm for mobile ad hoc networks, called POSANT (Position based Ant Colony Routing Algorithm), which combines the idea of ant colony optimization with information about the position of nodes. In contrast to the other ant colony optimization based routing algorithms, our simulations show that POSANT has a relatively short route establishment time while using a small number of control messages which makes it a scalable reactive routing algorithm. Index Terms — mobile adhoc networks, routing algorithms, position based routing, ant colony optimization I.
Efficient Delaunaybased Localized Routing for Wireless Sensor Networks
"... Consider a wireless sensor network consisting of n wireless sensors randomly distributed in a twodimensional plane. In this paper, we show that with high probability we can locally find a path for any pair of sensors such that the length of the path is no more than a constant factor of the minimum. ..."
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Consider a wireless sensor network consisting of n wireless sensors randomly distributed in a twodimensional plane. In this paper, we show that with high probability we can locally find a path for any pair of sensors such that the length of the path is no more than a constant factor of the minimum. By assuming each sensor knows its position, our new routing method decides where to forward the message purely based on the position of current node, its neighbors, and the positions of the source and the target. Our method is based on a novel structure called localized Delaunay triangulation [1] and a geometric routing method [2] that guarantees that the distance traveled by the packets is no more than a small constant factor of the minimum when the Delaunay triangulation of sensor nodes are known. Our experiments show that the delivery rates of existing localized routing protocols are increased when localized Delaunay triangulation is used instead of several previously proposed topologies, and our localized routing protocol based on Delaunay triangulation works well in practice. We also conducted extensive simulations of another localized routing protocol, face routing [13]. The path found by this protocol is also reasonably good compared with previous one although it cannot guarantee a constant approximation on the length of the path traveled theoretically. Copyright c ○ 2000 John Wiley & Sons, Ltd. key words: Wireless sensor networks, Delaunay triangulation, localized routing, power efficiency.
Localized Routing for Wireless Ad Hoc Networks
"... We show that, given a set of randomly distributed wireless nodes with density n, when the transmission range r_n of wireless nodes satisfies #r log n+c(n) n , the localized Delaunay triangulation (LDel) [1] is the same as the Delaunay triangulation with high probability, where c(n) → &i ..."
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Cited by 7 (1 self)
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We show that, given a set of randomly distributed wireless nodes with density n, when the transmission range r_n of wireless nodes satisfies #r log n+c(n) n , the localized Delaunay triangulation (LDel) [1] is the same as the Delaunay triangulation with high probability, where c(n) &rarr; &infin; as n goes infinity. Our experiments show that the delivery rates of existing localized routing protocols are increased when localized Delaunay triangulation is used instead of several previously proposed topologies, and the localized routing protocol based on Delaunay triangulation works well in practice.