Search Results - "Subexponential-Time Algorithms"
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Subexponential-Time Algorithms for Sparse PCA
ISSN: 1615-3375, 1615-3383Published: New York Springer US 01.06.2024Published 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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Subexponential-Time Algorithms for Maximum Independent Set in P t -Free and Broom-Free Graphs
ISSN: 0178-4617, 1432-0541Published: New York Springer Nature B.V 15.02.2019Published 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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Subexponential-Time Algorithms for Finding Large Induced Sparse Subgraphs
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.08.2021Published 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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Subexponential-Time Algorithms for Maximum Independent Set in $$P_t$$ P t -Free and Broom-Free Graphs
ISSN: 0178-4617, 1432-0541Published: 01.02.2019Published in Algorithmica (01.02.2019)Get full text
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Subexponential-Time Algorithms for Maximum Independent Set in Pt-Free and Broom-Free Graphs
ISSN: 0178-4617, 1432-0541Published: New York Springer US 15.02.2019Published 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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Tight bounds for parameterized complexity of Cluster Editing with a small number of clusters
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.11.2014Published 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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Subexponential-Time Algorithms for Sparse PCA
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 23.06.2022Published 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…”
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The Complexity of Tree Partitioning
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.09.2020Published 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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A transfer method from bounded existential Diophantine equations to Tarski algebra formulas
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 17.01.2018Published 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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Subexponential LPs Approximate Max-Cut
ISSN: 2575-8454Published: IEEE 01.11.2020Published in Proceedings / annual Symposium on Foundations of Computer Science (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 -
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Subexponential-time algorithms for finding large induced sparse subgraphs
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 02.10.2019Published 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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Subexponential-time Algorithms for Maximum Independent Set in \(P_t\)-free and Broom-free Graphs
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 11.04.2018Published 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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Subexponential time algorithms for finding small tree and path decompositions
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 04.05.2016Published 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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Peeling and Nibbling the Cactus: Subexponential-Time Algorithms for Counting Triangulations and Related Problems
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 23.03.2016Published 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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Independent Set, Induced Matching, and Pricing: Connections and Tight (Subexponential Time) Approximation Hardnesses
ISSN: 0272-5428Published: IEEE 01.10.2013Published in Annual Symposium on Foundations of Computer Science (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 -
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A subexponential-time algorithm for the Maximum Independent Set Problem in Pt-free graphs
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 20.11.2017Published 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 -
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A subexponential-time algorithm for the Maximum Independent Set Problem in P^sub t^-free graphs
ISSN: 0166-218X, 1872-6771Published: Amsterdam Elsevier BV 20.11.2017Published 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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Local List-Decoding and Testing of Random Linear Codes from High Error
ISSN: 0097-5397, 1095-7111Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013Published 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 -
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Approximating Vector Scheduling: Almost Matching Upper and Lower Bounds
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.12.2016Published 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 -
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A Tight Subexponential-time Algorithm for Two-Page Book Embedding
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 22.04.2024Published 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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