Proceedings of the 8th ACM International Symposium on Mobile Ad Hoc Networking and Computing 2007
DOI: 10.1145/1288107.1288122
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Complexity in geometric SINR

Abstract: In this paper we study the problem of scheduling wireless links in the geometric SIN R model, which explicitly uses the fact that nodes are distributed in the Euclidean plane. We present the first NP-completeness proofs in such a model. In particular, we prove two problems to be NP-complete: Scheduling and One-Shot Scheduling. The first problem consists in finding a minimum-length schedule for a given set of links. The second problem receives a weighted set of links as input and consists in finding a maximum-w… Show more

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Cited by 345 publications
(377 citation statements)
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“…It was the first time a scaling law that describes the achievable data rate in worst-case sensor networks was derived. Goussevskaia et al [8] make the milestone contribution of proving the NP-completeness of a special case of the MLS problem.…”
Section: B Link Scheduling Under the Physical Interference Modelmentioning
confidence: 99%
“…It was the first time a scaling law that describes the achievable data rate in worst-case sensor networks was derived. Goussevskaia et al [8] make the milestone contribution of proving the NP-completeness of a special case of the MLS problem.…”
Section: B Link Scheduling Under the Physical Interference Modelmentioning
confidence: 99%
“…In [14], the scheduling problem without power control under the physical interference model, where nodes are arbitrarily distributed in Euclidean space, has been shown to be NPcomplete. A greedy scheduling algorithm with approximation ratio of 0(n l -2 / (\}J (a )+ €) (Iogn)"}, where \lJ(a) is a constant that depends on the path-loss exponent a, is proposed in [3].…”
Section: B Link Scheduling Under the Physical Interference Modelmentioning
confidence: 99%
“…In fact, it has been argued that the performance of graph based algorithms is inferior to algorithms in the SINR model [GOW07]. In [MWW06,MWZ06] a logarithmic ratio between the throughput in the SINR model and the throughput in the graph model is presented.…”
Section: Introductionmentioning
confidence: 99%