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    Chapter and Conference Paper

    Guarding Monotone Art Galleries with Sliding Cameras in Linear Time

    A sliding camera in an orthogonal polygon \(P\) is a point guard 

    Mark de Berg, Stephane Durocher in Combinatorial Optimization and Applications (2014)

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    Chapter and Conference Paper

    Complexity of Barrier Coverage with Relocatable Sensors in the Plane

    We consider several variations of the problems of covering a set of barriers (modeled as line segments) using sensors that can detect any intruder crossing any of the barriers. Sensors are initially located in...

    Stefan Dobrev, Stephane Durocher, Mohsen Eftekhari in Algorithms and Complexity (2013)

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    Chapter and Conference Paper

    Revisiting the Problem of Searching on a Line

    We revisit the problem of searching for a target at an unknown location on a line when given upper and lower bounds on the distance D that separates the initial position of the searcher from the target. Prior to ...

    Prosenjit Bose, Jean-Lou De Carufel, Stephane Durocher in Algorithms – ESA 2013 (2013)

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    Chapter

    A Simple Linear-Space Data Structure for Constant-Time Range Minimum Query

    We revisit the range minimum query problem and present a new O(n)-space data structure that supports queries in O(1) time. Although previous data structures exist whose asymptotic bounds match ours, our goal is t...

    Stephane Durocher in Space-Efficient Data Structures, Streams, and Algorithms (2013)

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    Chapter and Conference Paper

    Plane 3-trees: Embeddability and Approximation

    We give an O(nlog3 n)-time linear-space algorithm that, given a plane 3-tree G with n vertices and a set S of n points in the plane, determines whether G has a point-set embedding on S (i.e., a plan...

    Stephane Durocher, Debajyoti Mondal in Algorithms and Data Structures (2013)

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    Chapter and Conference Paper

    Robust Nonparametric Data Approximation of Point Sets via Data Reduction

    In this paper we present a novel nonparametric method for simplifying piecewise linear curves and we apply this method as a statistical approximation of structure within sequential data in the plane. We consid...

    Stephane Durocher, Alexandre Leblanc, Jason Morrison in Algorithms and Computation (2012)

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    Chapter and Conference Paper

    Faster Optimal Algorithms for Segment Minimization with Small Maximal Value

    The segment minimization problem consists of finding the smallest set of integer matrices (segments) that sum to a given intensity matrix, such that each summand has only one non-zero value (the segment-value), a...

    Therese Biedl, Stephane Durocher, Céline Engelbeen in Algorithms and Data Structures (2011)

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    Chapter and Conference Paper

    Kinetic Maintenance of Mobile k-Centres on Trees

    Let C denote a set of n mobile clients, each of which follows a continuous trajectory on a weighted tree T. We establish tight bounds on the maximum relative velocity of the 1-centre and 2-centre of C. When each ...

    Stephane Durocher, Christophe Paul in Algorithms and Computation (2007)