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    Chapter and Conference Paper

    Graph Exploration by Energy-Sharing Mobile Agents

    We consider the problem of collective exploration of a known n-node edge-weighted graph by k mobile agents that have limited energy but are capable of energy transfers. The agents are initially placed at an arbit...

    Jurek Czyzowicz, Stefan Dobrev, Ryan Killick in Structural Information and Communication C… (2021)

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    Chapter and Conference Paper

    Improved Spanners in Networks with Symmetric Directional Antennas

    Consider a set \(S\) of sensors in a plane, each equipped with a directional antenna of beamwidth \(\frac{\pi }{2}\) and radius ...

    Stefan Dobrev, Milan Plžík in Algorithms for Sensor Systems (2015)

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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

    Optimal Sensor Networks for Area Monitoring Using Rotating and Beam Sensors

    We consider the problem of monitoring the Euclidean plane using rotating sensors with detection sectors and beam sensors. We assume that intruders can appear anywhere at any time and move arbitrarily fast, and...

    Stefan Dobrev, Lata Narayanan, Jaroslav Opatrny in Fun with Algorithms (2012)

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    Chapter and Conference Paper

    Approximating the Edge Length of 2-Edge Connected Planar Geometric Graphs on a Set of Points

    Given a set P of n points in the plane, we solve the problems of constructing a geometric planar graph spanning P 1) of minimum degree 2, and 2) which is 2-edge connected, respectively, and has max edge length bo...

    Stefan Dobrev, Evangelos Kranakis, Danny Krizanc in LATIN 2012: Theoretical Informatics (2012)

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    Chapter and Conference Paper

    Online Graph Exploration with Advice

    We study the problem of exploring an unknown undirected graph with non-negative edge weights. Starting at a distinguished initial vertex s, an agent must visit every vertex of the graph and return to s. Upon visi...

    Stefan Dobrev, Rastislav Královič in Structural Information and Communication C… (2012)

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    Chapter and Conference Paper

    Asynchronous Exploration of an Unknown Anonymous Dangerous Graph with O(1) Pebbles

    We consider the a team of asynchronous agents that must explore an unknown graph in presence of a black hole, a node which destroys all incoming agents without leaving any observable trace. Communication is ac...

    Balasingham Balamohan, Stefan Dobrev in Structural Information and Communication C… (2012)

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    Chapter and Conference Paper

    Routing in Carrier-Based Mobile Networks

    The past years have seen an intense research effort directed at study of delay/disruption tolerant networks and related concepts (intermittently connected networks, opportunistic mobility networks). As a funda...

    Bronislava Brejová, Stefan Dobrev in Structural Information and Communication C… (2011)

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    Chapter and Conference Paper

    Black Hole Search in Directed Graphs

    We consider the problem of cooperative network exploration by agents under the assumption that there is a harmful host present in the network that destroys the incoming agents without outside trace – the so-ca...

    Jurek Czyzowicz, Stefan Dobrev in Structural Information and Communication C… (2010)

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    Chapter and Conference Paper

    More Efficient Periodic Traversal in Anonymous Undirected Graphs

    We consider the problem of periodic graph exploration in which a mobile entity with (at most) constant memory, an agent, has to visit all n nodes of an arbitrary undirected graph G in a periodic manner. Graphs ar...

    Jurek Czyzowicz, Stefan Dobrev in Structural Information and Communication C… (2010)

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    Chapter and Conference Paper

    Strong Connectivity in Sensor Networks with Given Number of Directional Antennae of Bounded Angle

    Given a set S of n sensors in the plane we consider the problem of establishing an ad hoc network from these sensors using directional antennae. We prove that for each given integer 1 ≤ k ≤ 5 there is a strongly ...

    Stefan Dobrev, Evangelos Kranakis in Combinatorial Optimization and Applications (2010)

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    Chapter and Conference Paper

    How Much Information about the Future Is Needed?

    We propose a new way of characterizing the complexity of online problems. Instead of measuring the degradation of output quality caused by the ignorance of the future we choose to quantify the amount of additi...

    Stefan Dobrev, Rastislav Královič in SOFSEM 2008: Theory and Practice of Comput… (2008)

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    Chapter and Conference Paper

    The Power of Tokens: Rendezvous and Symmetry Detection for Two Mobile Agents in a Ring

    Rendezvous with detection differs from the usual rendezvous problem in that two mobile agents not only accomplish rendezvous whenever this is possible, but can also detect the impossibility of rendezvous (e.g....

    Jurek Czyzowicz, Stefan Dobrev in SOFSEM 2008: Theory and Practice of Comput… (2008)

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    Chapter and Conference Paper

    Local Edge Colouring of Yao-Like Subgraphs of Unit Disk Graphs

    The focus of the present paper is on providing a local deterministic algorithm for colouring the edges of Yao-like subgraphs of Unit Disc Graphs. These are geometric graphs such that for some positive integers l,

    Jurek Czyzowicz, Stefan Dobrev in Structural Information and Communication C… (2007)

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    Article

    Searching for a black hole in arbitrary networks: optimal mobile agents protocols

    Consider a networked environment, supporting mobile agents, where there is a black hole: a harmful host that disposes of visiting agents upon their arrival, leaving no observable trace of such a destruction. T...

    Stefan Dobrev, Paola Flocchini, Giuseppe Prencipe, Nicola Santoro in Distributed Computing (2006)

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    Chapter and Conference Paper

    Half-Space Proximal: A New Local Test for Extracting a Bounded Dilation Spanner of a Unit Disk Graph

    We give a new local test, called a Half-Space Proximal or HSP test, for extracting a sparse directed or undirected subgraph of a given unit disk graph. The HSP neighbors of each vertex are unique, given a fixed u...

    Edgar Chavez, Stefan Dobrev, Evangelos Kranakis in Principles of Distributed Systems (2006)

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    Chapter and Conference Paper

    On Fractional Dynamic Faults with Threshold

    Unlike localized communication failures that occur on a fixed (although a priori unknown) set of links, dynamic faults can occur on any link. Known also as mobile or ubiquitous faults, their presence makes many t...

    Stefan Dobrev, Rastislav Královič in Structural Information and Communication C… (2006)

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    Chapter and Conference Paper

    Finding Short Right-Hand-on-the-Wall Walks in Graphs

    We consider the problem of perpetual traversal by a single agent in an anonymous undirected graph G. Our requirements are: (1) deterministic algorithm, (2) each node is visited within O(n) moves, (3) the agent us...

    Stefan Dobrev, Jesper Jansson in Structural Information and Communication C… (2005)

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    Chapter and Conference Paper

    Improved Bounds for Optimal Black Hole Search with a Network Map

    A black hole is a harmful host that destroys incoming agents without leaving any observable trace of such a destruction. The black hole search problem is to unambiguously determine the location of the black hole....

    Stefan Dobrev, Paola Flocchini in Structural Information and Communication C… (2004)

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    Chapter and Conference Paper

    Multiple Agents RendezVous in a Ring in Spite of a Black Hole

    The Rendezvous of anonymous mobile agents in a anonymous network is an intensively studied problem; it calls for k anonymous, mobile agents to gather in the same site. We study this problem when in the network th...

    Stefan Dobrev, Paola Flocchini, Giuseppe Prencipe in Principles of Distributed Systems (2004)

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