Search Results - "Computer Science - Data Structures and Algorithms"

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    Approximate Counting for Spin Systems in Sub-Quadratic Time by Anand, Konrad, Feng, Weiming, Freifeld, Graham, Guo, Heng, Wang, Jiaheng

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 13.01.2025
    Published in TheoretiCS (13.01.2025)
    “…We present two randomised approximate counting algorithms with$\widetilde{O}(n^{2-c}/\varepsilon^2)$running time for some constant$c>0$and…”
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    Journal Article
  3. 3

    Testing Distributions of Huge Objects by Goldreich, Oded, Ron, Dana

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 30.12.2023
    Published in TheoretiCS (30.12.2023)
    “…We initiate a study of a new model of property testing that is a hybrid of testing properties of distributions and testing properties of strings. Specifically,…”
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    Journal Article
  4. 4

    Fully Dynamic Connectivity in$O(\log n(\log\log n)^2)$Amortized Expected Time by Huang, Shang-En, Huang, Dawei, Kopelowitz, Tsvi, Pettie, Seth, Thorup, Mikkel

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 02.05.2023
    Published in TheoretiCS (02.05.2023)
    “…Dynamic connectivity is one of the most fundamental problems in dynamic graph algorithms. We present a randomized Las Vegas dynamic connectivity data structure…”
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  5. 5

    A Refined Laser Method and Faster Matrix Multiplication by Alman, Josh, Williams, Virginia Vassilevska

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 04.09.2024
    Published in TheoretiCS (04.09.2024)
    “…The complexity of matrix multiplication is measured in terms of$\omega$ , the smallest real number such that two$n\times n$matrices can be multiplied…”
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    Approximating Maximum Edge 2-Coloring by Normalizing Graphs by Mömke, Tobias, Popa, Alexandru, Roshany-Tabrizi, Aida, Ruderer, Michael, Vincze, Roland

    ISSN: 1365-8050, 1365-8050
    Published: Discrete Mathematics & Theoretical Computer Science 01.05.2025
    “…In a simple, undirected graph G, an edge 2-coloring is a coloring of the edges such that no vertex is incident to edges with more than 2 distinct colors. The…”
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    Simpler and Unified Recognition Algorithm for Path Graphs and Directed Path Graphs by Balzotti, Lorenzo

    ISSN: 1365-8050, 1365-8050
    Published: Discrete Mathematics & Theoretical Computer Science 01.05.2025
    “…A path graph is the intersection graph of paths in a tree. A directed path graph is the intersection graph of paths in a directed tree. Even if path graphs and…”
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    Lettericity of graphs: an FPT algorithm and a bound on the size of obstructions by Alecu, Bogdan, Kanté, Mamadou Moustapha, Lozin, Vadim, Zamaraev, Viktor

    ISSN: 0178-4617, 1432-0541
    Published: Springer Verlag 19.02.2024
    Published in Algorithmica (19.02.2024)
    “…Lettericity is a graph parameter responsible for many attractive structural properties. In particular, graphs of bounded lettericity have bounded linear…”
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    Brooks' Theorem in Graph Streams: A Single-Pass Semi-Streaming Algorithm for$\Delta$ -Coloring by Assadi, Sepehr, Kumar, Pankaj, Mittal, Parth

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 25.08.2023
    Published in TheoretiCS (25.08.2023)
    “…Every graph with maximum degree$\Delta$can be colored with$(\Delta+1)$colors using a simple greedy algorithm. Remarkably, recent work has shown that one can…”
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    On Approximability of Steiner Tree in$\ell_p$ -metrics by Fleischmann, Henry, Gavva, Surya Teja, S, Karthik C.

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 20.01.2025
    Published in TheoretiCS (20.01.2025)
    “…In the Continuous Steiner Tree problem (CST), we are given as input a set of points (called terminals) in a metric space and ask for the minimum-cost tree…”
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    Exactly Hittable Interval Graphs by Dhannya, S. M., Narayanaswamy, N. S., Nisha, K. K.

    ISSN: 1365-8050, 1365-8050
    Published: Discrete Mathematics & Theoretical Computer Science 30.11.2023
    “…Given a set system$\mathcal{X} = \{\mathcal{U},\mathcal{S}\}$ , where$\mathcal{U}$is a set of elements and$\mathcal{S}$is a set of subsets of$\mathcal{U}$ , an…”
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    PPSZ is better than you think by Scheder, Dominik

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 13.03.2024
    Published in TheoretiCS (13.03.2024)
    “…PPSZ, for long time the fastest known algorithm for$k$ -SAT, works by going through the variables of the input formula in random order; each variable is then…”
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    Introduction to local certification by Feuilloley, Laurent

    ISSN: 1365-8050, 1462-7264, 1365-8050
    Published: Nancy DMTCS 01.09.2021
    “…A distributed graph algorithm is basically an algorithm where every node of a graph can look at its neighborhood at some distance in the graph and chose its…”
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    An Alternate Proof of Near-Optimal Light Spanners by Bodwin, Greg

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 2025
    Published in TheoretiCS (2025)
    “…In 2016, a breakthrough result of Chechik and Wulff-Nilsen [SODA '16] established that every$n$ -node graph$G$has a$(1+\varepsilon)(2k-1)$ -spanner of…”
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    Approximate Distance Sensitivity Oracles in Subquadratic Space by Bilò, Davide, Chechik, Shiri, Choudhary, Keerti, Cohen, Sarel, Friedrich, Tobias, Krogmann, Simon, Schirneck, Martin

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 05.06.2024
    Published in TheoretiCS (05.06.2024)
    “…An$f$ -edge fault-tolerant distance sensitive oracle ( $f$ -DSO) with stretch$\sigma \ge 1$is a data structure that preprocesses a given undirected, unweighted…”
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    Strongly Sublinear Algorithms for Testing Pattern Freeness by Newman, Ilan, Varma, Nithin

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 2024
    Published in TheoretiCS (2024)
    “…For a permutation$\pi:[k] \to [k]$ , a function$f:[n] \to \mathbb{R}$contains a$\pi$ -appearance if there exists$1 \leq i_1 < i_2 < \dots < i_k \leq n$such…”
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    On-line algorithms for multiplication and division in real and complex numeration systems by Frougny, Christiane, Pavelka, Marta, Pelantova, Edita, Svobodova, Milena

    ISSN: 1365-8050, 1365-8050
    Published: Discrete Mathematics & Theoretical Computer Science 20.06.2019
    “…A positional numeration system is given by a base and by a set of digits. The base is a real or complex number$\beta$such that$|\beta|>1$ , and the digit…”
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    Search-and-Fetch with 2 Robots on a Disk: Wireless and Face-to-Face Communication Models by Georgiou, Konstantinos, Karakostas, George, Kranakis, Evangelos

    ISSN: 1365-8050, 1365-8050
    Published: Discrete Mathematics & Theoretical Computer Science 13.06.2019
    “…We initiate the study of a new problem on searching and fetching in a distributed environment concerning treasure-evacuation from a unit disk. A treasure and…”
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    Polynomial kernels for edge modification problems towards block and strictly chordal graphs by Dumas, Maël, Perez, Anthony, Rocton, Mathis, Todinca, Ioan

    ISSN: 1365-8050, 1462-7264, 1365-8050
    Published: DMTCS 01.05.2025
    “…We consider edge modification problems towards block and strictly chordal graphs, where one is given an undirected graph$G = (V,E)$and an integer$k \in…”
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    Ortho-Radial Drawing in Near-Linear Time by Chang, Yi-Jun

    ISSN: 2751-4838, 2751-4838
    Published: TheoretiCS Foundation e.V 08.04.2025
    Published in TheoretiCS (08.04.2025)
    “…An orthogonal drawing is an embedding of a plane graph into a grid. In a seminal work of Tamassia (SIAM Journal on Computing 1987), a simple combinatorial…”
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