Math @ Duke

Publications [#235523] of Pankaj K. Agarwal
Papers Published
 Sankararaman, S; Efrat, A; Ramasubramanian, S; Agarwal, PK, On channeldiscontinuityconstraint routing in wireless networks,
Proceedings  IEEE INFOCOM
(2010), ISSN 0743166X [doi]
(last updated on 2018/07/22)
Abstract: Multichannel wireless networks are increasingly being employed as infrastructure networks, e.g. in metro areas. Nodes in these networks frequently employ directional antennas to improve spatial throughput. In such networks, given a source and destination, it is of interest to compute an optimal path and channel assignment on every link in the path such that the path bandwidth is the same as that of the link bandwidth and such a path satisfies the constraint that no two consecutive links on the path are assigned the same channel, referred to as "Channel Discontinuity Constraint" (CDC). CDCpaths are also quite useful for TDMA system, where preferably every consecutive links along a path are assigned different time slots. This paper contains several contributions. We first present an O(N2) distributed algorithm for discovering the shortest CDCpath between given source and destination. For use in wireless networks, we explain how spatial properties can be used for dramatically expedite the algorithm. This improves the running time of the O(N3) centralized algorithm of Ahuja et al. for finding the minimumweight CDCpath. Our second result is a generalized tspanner for CDCpath; For any θ > 0 we show how to construct a subnetwork containing only O(N/θ ) edges, such that that length of shortest CDCpaths between arbitrary sources and destinations increases by only a factor of at most (12 sin θ/2 )2. This scheme can be implemented in a distributed manner using the ideas of [3] with a message complexity of O(n log n) and it is highly dynamic, so addition/deletion of nodes are easily handled in a distributed manner. An important conclusion of this scheme is in the case of directional antennas are used. In this case, it is enough to consider only the two closest nodes in each cone.


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