Search Results - "Subexponential-Time Algorithms"

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  1. 1

    Subexponential-Time Algorithms for Sparse PCA by Ding, Yunzi, Kunisky, Dmitriy, Wein, Alexander S., Bandeira, Afonso S.

    ISSN: 1615-3375, 1615-3383
    Published: New York Springer US 01.06.2024
    Published in Foundations of computational mathematics (01.06.2024)
    “…We study the computational cost of recovering a unit-norm sparse principal component x ∈ R n planted in a random matrix, in either the Wigner or Wishart spiked…”
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    Journal Article
  2. 2

    Subexponential-Time Algorithms for Maximum Independent Set in P t -Free and Broom-Free Graphs by Bacsó, Gábor, Lokshtanov, Daniel, Marx, Dániel, Pilipczuk, Marcin, Tuza, Zsolt, van Leeuwen, Erik Jan

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer Nature B.V 15.02.2019
    Published in Algorithmica (15.02.2019)
    “…). Here we study the existence of subexponential-time algorithms for the problem: we show that for any…”
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    Journal Article
  3. 3

    Subexponential-Time Algorithms for Finding Large Induced Sparse Subgraphs by Novotná, Jana, Okrasa, Karolina, Pilipczuk, Michał, Rzążewski, Paweł, van Leeuwen, Erik Jan, Walczak, Bartosz

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.08.2021
    Published in Algorithmica (01.08.2021)
    “…Let C and D be hereditary graph classes. Consider the following problem: given a graph G ∈ D , find a largest, in terms of the number of vertices, induced…”
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    Journal Article
  4. 4
  5. 5

    Subexponential-Time Algorithms for Maximum Independent Set in Pt-Free and Broom-Free Graphs by Bacsó, Gábor, Lokshtanov, Daniel, Marx, Dániel, Pilipczuk, Marcin, Tuza, Zsolt, van Leeuwen, Erik Jan

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 15.02.2019
    Published in Algorithmica (15.02.2019)
    “… ). Here we study the existence of subexponential-time algorithms for the problem: we show that for any…”
    Get full text
    Journal Article
  6. 6

    Tight bounds for parameterized complexity of Cluster Editing with a small number of clusters by Fomin, Fedor V., Kratsch, Stefan, Pilipczuk, Marcin, Pilipczuk, Michał, Villanger, Yngve

    ISSN: 0022-0000, 1090-2724
    Published: Elsevier Inc 01.11.2014
    Published in Journal of computer and system sciences (01.11.2014)
    “…In the Cluster Editing problem, also known as Correlation Clustering, we are given an undirected n-vertex graph G and a positive integer k. The task is to…”
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    Journal Article
  7. 7

    Subexponential-Time Algorithms for Sparse PCA by Ding, Yunzi, Kunisky, Dmitriy, Wein, Alexander S, Bandeira, Afonso S

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.06.2022
    Published in arXiv.org (23.06.2022)
    “…We study the computational cost of recovering a unit-norm sparse principal component \(x \in \mathbb{R}^n\) planted in a random matrix, in either the Wigner or…”
    Get full text
    Paper
  8. 8

    The Complexity of Tree Partitioning by An, Zhao, Feng, Qilong, Kanj, Iyad, Xia, Ge

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.09.2020
    Published in Algorithmica (01.09.2020)
    “…Given a tree T on n vertices, and k , b , s 1 , … , s b ∈ N , the Tree Partitioning  problem asks if at most k edges can be removed from T so that the…”
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    Journal Article
  9. 9

    A transfer method from bounded existential Diophantine equations to Tarski algebra formulas by Litow, B.

    ISSN: 0304-3975, 1879-2294
    Published: Elsevier B.V 17.01.2018
    Published in Theoretical computer science (17.01.2018)
    “…We identify a transfer method from bounded existentially quantified Diophantine equations to formulas of Tarski algebra, the first order theory of the real…”
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    Journal Article
  10. 10

    Subexponential LPs Approximate Max-Cut by Hopkins, Samuel B., Schramm, Tselil, Trevisan, Luca

    ISSN: 2575-8454
    Published: IEEE 01.11.2020
    “…We show that for every \varepsilon > 0 , the degree -n^{\varepsilon} Sherali-Adams linear program (with \exp(\tilde{O}(n^{\varepsilon}) ) variables and…”
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    Conference Proceeding
  11. 11

    Subexponential-time algorithms for finding large induced sparse subgraphs by Novotná, Jana, Okrasa, Karolina, Pilipczuk, Michał, Rzążewski, Paweł, van Leeuwen, Erik Jan, Walczak, Bartosz

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 02.10.2019
    Published in arXiv.org (02.10.2019)
    “…Let \(\mathcal{C}\) and \(\mathcal{D}\) be hereditary graph classes. Consider the following problem: given a graph \(G\in\mathcal{D}\), find a largest, in…”
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    Paper
  12. 12

    Subexponential-time Algorithms for Maximum Independent Set in \(P_t\)-free and Broom-free Graphs by Bacsó, Gábor, Lokshtanov, Daniel, Marx, Dániel, Pilipczuk, Marcin, Tuza, Zsolt, van Leeuwen, Erik Jan

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 11.04.2018
    Published in arXiv.org (11.04.2018)
    “…, SODA 2014, 570--581, 2014], and an algorithm for \(t=6\) announced recently [Grzesik et al. Arxiv 1707.05491, 2017]. Here we study the existence of subexponential-time algorithms for the problem…”
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    Paper
  13. 13

    Subexponential time algorithms for finding small tree and path decompositions by Bodlaender, Hans L, Nederlof, Jesper

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 04.05.2016
    Published in arXiv.org (04.05.2016)
    “…The Minimum Size Tree Decomposition (MSTD) and Minimum Size Path Decomposition (MSPD) problems ask for a given n-vertex graph G and integer k, what is the…”
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    Paper
  14. 14

    Peeling and Nibbling the Cactus: Subexponential-Time Algorithms for Counting Triangulations and Related Problems by Marx, Dániel, Tillmann Miltzow

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 23.03.2016
    Published in arXiv.org (23.03.2016)
    “…Given a set of \(n\) points \(S\) in the plane, a triangulation \(T\) of \(S\) is a maximal set of non-crossing segments with endpoints in \(S\). We present an…”
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    Paper
  15. 15

    Independent Set, Induced Matching, and Pricing: Connections and Tight (Subexponential Time) Approximation Hardnesses by Chalermsook, Parinya, Laekhanukit, Bundit, Nanongkai, Danupon

    ISSN: 0272-5428
    Published: IEEE 01.10.2013
    “…We present a series of almost settled inapproximability results for three fundamental problems. The first in our series is the subexponential-time…”
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    Conference Proceeding
  16. 16

    A subexponential-time algorithm for the Maximum Independent Set Problem in Pt-free graphs by Brause, Christoph

    ISSN: 0166-218X, 1872-6771
    Published: Elsevier B.V 20.11.2017
    Published in Discrete Applied Mathematics (20.11.2017)
    “…The Maximum Independent Set Problem is known to be NP-hard in general. In the last decades lots of effort were spent to find polynomial-time algorithms for…”
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    Journal Article
  17. 17

    A subexponential-time algorithm for the Maximum Independent Set Problem in P^sub t^-free graphs by Brause, Christoph

    ISSN: 0166-218X, 1872-6771
    Published: Amsterdam Elsevier BV 20.11.2017
    Published in Discrete Applied Mathematics (20.11.2017)
    “…The Maximum Independent Set Problem is known to be NP-hard in general. In the last decades lots of effort were spent to find polynomial-time algorithms for…”
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    Journal Article
  18. 18

    Local List-Decoding and Testing of Random Linear Codes from High Error by Kopparty, Swastik, Saraf, Shubhangi

    ISSN: 0097-5397, 1095-7111
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    Published in SIAM journal on computing (01.01.2013)
    “… We also give subexponential time algorithms for list-decoding arbitrary unbiased (but not necessarily sparse…”
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    Journal Article
  19. 19

    Approximating Vector Scheduling: Almost Matching Upper and Lower Bounds by Bansal, Nikhil, Oosterwijk, Tim, Vredeveld, Tjark, van der Zwaan, Ruben

    ISSN: 0178-4617, 1432-0541
    Published: New York Springer US 01.12.2016
    Published in Algorithmica (01.12.2016)
    “…We consider the Vector Scheduling problem, a natural generalization of the classical makespan minimization problem to multiple resources. Here, we are given n…”
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    Journal Article
  20. 20

    A Tight Subexponential-time Algorithm for Two-Page Book Embedding by Ganian, Robert, Mueller, Haiko, Ordyniak, Sebastian, Paesani, Giacomo, Rychlicki, Mateusz

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 22.04.2024
    Published in arXiv.org (22.04.2024)
    “…A book embedding of a graph is a drawing that maps vertices onto a line and edges to simple pairwise non-crossing curves drawn into pages, which are…”
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    Paper