Minimizing the maximum Interference in k-connected wireless networks

dc.contributor.authorMehrpour, Sahar
dc.contributor.examiningcommitteeLi, Ben (Computer Science) Arino, Julien (Mathematics)en_US
dc.contributor.supervisorDurocher, Stephane (Computer Science)en_US
dc.date.accessioned2016-09-21T14:48:10Z
dc.date.available2016-09-21T14:48:10Z
dc.date.issued2016
dc.degree.disciplineComputer Scienceen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractGiven a set P of n points in R^d, we consider the k-connected interference minimization problem, in which the objective is to assign a transmission radius to each node in P such that the resulting network is k-connected and the maximum interference is minimized. We show for any n and any 1 <= k < n, Omega(sqrt(kn)) and Omega(k log n) are lower bounds on the worst-case minimum maximum interference in the symmetric and asymmetric models, respectively. In the symmetric case, we present polynomial-time algorithms that build a k-connected network on any given set of n nodes with interference O(sqrt(kn)) in one dimension and O(min{k sqrt(n), k log lambda}) in two dimensions, where lambda denotes the ratio of the longest to shortest distances between any pair of nodes. In the asymmetric case, we present a polynomial-time algorithm that builds a strongly k-connected network with maximum interference O(k log lambda) in two dimensions.en_US
dc.description.noteOctober 2016en_US
dc.identifier.urihttp://hdl.handle.net/1993/31845
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectWireless networksen_US
dc.subjectK-connectivityen_US
dc.subjectTopology controlen_US
dc.subjectInterference minimizationen_US
dc.titleMinimizing the maximum Interference in k-connected wireless networksen_US
dc.typemaster thesisen_US
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