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  1. Article

    Open Access

    Randomized Online Computation with High Probability Guarantees

    We study the relationship between the competitive ratio and the tail distribution of randomized online problems. To this end, we identify a broad class of online problems for which the existence of a randomize...

    Dennis Komm, Rastislav Královič, Richard Královič, Tobias Mömke in Algorithmica (2022)

  2. No Access

    Chapter and Conference Paper

    Two-Way Non-uniform Finite Automata

    We consider two-tape automata where one tape contains the input word w, and the other contains an advice string \(\alpha (|w|)\) ...

    Fabian Frei, Juraj Hromkovič, Richard Královič in Developments in Language Theory (2021)

  3. No Access

    Chapter and Conference Paper

    Improved Lower Bounds for Shoreline Search

    Shoreline search is a natural and well-studied generalisation of the classical cow-path problem: k initially co-located unit speed agents are searching for a line (called shoreline) in 2 dimensional Euclidean spa...

    Stefan Dobrev, Rastislav Královič in Structural Information and Communication C… (2020)

  4. No Access

    Chapter and Conference Paper

    Exploration of Time-Varying Connected Graphs with Silent Agents

    Exploration is a fundamental task in mobile computing. We study the version where a group of cooperating agents is situated in a graph, and the task is to make sure that every vertex of the graph is visited by...

    Stefan Dobrev, Rastislav Královič in Structural Information and Communication C… (2020)

  5. No Access

    Book and Conference Proceedings

    SOFSEM 2019: Theory and Practice of Computer Science

    45th International Conference on Current Trends in Theory and Practice of Computer Science, Nový Smokovec, Slovakia, January 27-30, 2019, Proceedings

    Barbara Catania, Rastislav Královič in Lecture Notes in Computer Science (2019)

  6. Chapter

    Determinism and Nondeterminism in Finite Automata with Advice

    We consider the model of finite automata with advice introduced by Küçük et al. We show that there are languages, in particular the language of palindromes, that cannot be recognized by

    Pavol Ďuriš, Rafael Korbaš in Adventures Between Lower Bounds and Higher… (2018)

  7. No Access

    Chapter and Conference Paper

    The Complexity of Paging Against a Probabilistic Adversary

    We consider deterministic online algorithms for paging. The offline version of the paging problem, in which the whole input is given in advance, is known to be easily solvable. If the input is random, chosen a...

    Stefan Dobrev, Juraj Hromkovič, Dennis Komm in SOFSEM 2016: Theory and Practice of Comput… (2016)

  8. No Access

    Chapter and Conference Paper

    Edge-Editing to a Dense and a Sparse Graph Class

    We consider a graph edge-editing problem, where the goal is to transform a given graph G into a disjoint union of two graphs from a pair of given graph classes, investigating what properties of the classes make t...

    Michal Kotrbčík, Rastislav Královič in LATIN 2016: Theoretical Informatics (2016)

  9. No Access

    Chapter and Conference Paper

    Disjoint Path Allocation with Sublinear Advice

    We study the disjoint path allocation problem. In this setting, a path \(P\) ...

    Heidi Gebauer, Dennis Komm, Rastislav Královič in Computing and Combinatorics (2015)

  10. No Access

    Article

    Advice Complexity of Maximum Independent set in Sparse and Bipartite Graphs

    We study the advice complexity of the online version of the Maximum Independent Set problem, restricted to the sparse, and bipartite graphs, respectively. We show that for sparse graphs, constant-sized advice ...

    Stefan Dobrev, Rastislav Královič, Richard Královič in Theory of Computing Systems (2015)

  11. No Access

    Chapter and Conference Paper

    Treasure Hunt with Advice

    The node searching problem (a.k.a. treasure hunt) is a fundamental task performed by mobile agents in a network and can be viewed as an online version of the shortest path problem: an agent starts in a vertex ...

    Dennis Komm, Rastislav Královič in Structural Information and Communication C… (2015)

  12. No Access

    Chapter and Conference Paper

    Advice Complexity: Quantitative Approach to A-Priori Information

    We survey recent results from different areas, studying how introducing per-instance a-priori information affects the solvability and complexity of given tasks. We mainly focus on distributed, and online compu...

    Rastislav Královič in SOFSEM 2014: Theory and Practice of Computer Science (2014)

  13. No Access

    Chapter and Conference Paper

    Independent Set with Advice: The Impact of Graph Knowledge

    We are interested in online graph problems where the knowledge of the underlying graph G (all arriving vertices are from G) has a profound impact on the size of the advice needed to solve the problem efficiently....

    Stefan Dobrev, Rastislav Královič, Richard Královič in Approximation and Online Algorithms (2013)

  14. No Access

    Chapter and Conference Paper

    Determinism vs. Nondeterminism for Two-Way Automata

    The question whether nondeterminism is more powerful than determinism for two-way automata is one of the most famous old open problems on the border between formal language theory and automata theory. An expon...

    Juraj Hromkovič, Rastislav Královič, Richard Královič in Developments in Language Theory (2012)

  15. No Access

    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)

  16. No Access

    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)

  17. No Access

    Chapter and Conference Paper

    On the Advice Complexity of the k-Server Problem

    Competitive analysis is the established tool for measuring the output quality of algorithms that work in an online environment. Recently, the model of advice complexity has been introduced as an alternative measu...

    Hans-Joachim Böckenhauer, Dennis Komm in Automata, Languages and Programming (2011)

  18. No Access

    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)

  19. No Access

    Chapter and Conference Paper

    Periodic Data Retrieval Problem in Rings Containing a Malicious Host

    In the problems of exploration of faulty graphs, a team of cooperating agents is considered moving in a network containing one or more nodes that can harm the agents. A most notable among these problems is the pr...

    Rastislav Královič, Stanislav Miklík in Structural Information and Communication Complexity (2010)

  20. No Access

    Chapter and Conference Paper

    Information Complexity of Online Problems

    What is information? Frequently spoken about in many contexts, yet nobody has ever been able to define it with mathematical rigor. The best we are left with so far is the concept of entropy by Shannon, and the...

    Juraj Hromkovič, Rastislav Královič in Mathematical Foundations of Computer Scien… (2010)

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