Search Results - "kernelization algorithm"
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A kernelization algorithm for d-Hitting Set
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.11.2010Published in Journal of computer and system sciences (01.11.2010)“…For a given parameterized problem, π, a kernelization algorithm is a polynomial-time pre-processing procedure that transforms an arbitrary instance of π…”
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An improved kernelization algorithm for r-Set Packing
ISSN: 0020-0190, 1872-6119Published: Amsterdam Elsevier B.V 31.07.2010Published in Information processing letters (31.07.2010)“… ) , where k is the input parameter. Such parameterized reductions are known as kernelization algorithms, and a reduced instance is called a problem kernel…”
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A 5k-vertex kernel for P2-packing
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 02.04.2022Published in Theoretical computer science (02.04.2022)“…) paths each of length two. We continue the study of its kernelization algorithms, and develop a 5k-vertex kernel…”
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Space limited linear-time graph algorithms on big data
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 27.04.2024Published in Theoretical computer science (27.04.2024)“…) randomized kernelization algorithms of time O(N) and space O(kO(1)) for a number of well-known NP-hard problems…”
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A Kernelization Algorithm for Finding a Perfect Phylogeny From Mixed Tumor Samples
ISSN: 2998-4165, 2998-4165Published: United States IEEE 01.09.2025Published in IEEE Transactions on Computational Biology and Bioinformatics (01.09.2025)“…The split-row problem (SR), introduced by Hajirasouliha and Raphael [WABI 2014], models an effective method for reconstructing a perfect phylogeny from mixed…”
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Nearly Time-Optimal Kernelization Algorithms for the Line-Cover Problem with Big Data
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.08.2024Published in Algorithmica (01.08.2024)“…Based on well-known complexity theory conjectures, any polynomial-time kernelization algorithm for the NP-hard Line- Cover problem produces a kernel of size Ω ( k 2…”
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Efficient Kernelization Algorithm for Bipartite Graph Matching
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 01.12.2024Published in arXiv.org (01.12.2024)“…Finding the maximum matching in bipartite graphs is a fundamental graph operation widely used in various fields. To expedite the acquisition of the maximum…”
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An improved kernelization algorithm for Trivially Perfect Editing
ISSN: 2331-8422Published: Ithaca Cornell University Library, arXiv.org 26.10.2023Published in arXiv.org (26.10.2023)“…In the Trivially Perfect Editing problem one is given an undirected graph \(G = (V,E)\) and an integer \(k\) and seeks to add or delete at most \(k\) edges in…”
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A Polynomial Kernel for Block Graph Deletion
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.09.2017Published in Algorithmica (01.09.2017)“…In the Block Graph Deletion problem, we are given a graph G on n vertices and a positive integer k , and the objective is to check whether it is possible to…”
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A kernel of order 2 k − c log k for vertex cover
ISSN: 0020-0190, 1872-6119Published: Elsevier B.V 2011Published in Information processing letters (2011)“…In a recent paper Soleimanfallah and Yeo proposed a kernelization algorithm for vertex cover which, for any fixed constant c, produces a kernel of order 2 k…”
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A kernel of order 2k - c log k for vertex cover
ISSN: 0020-0190, 1872-6119, 1872-6119Published: Amsterdam Elsevier 15.12.2011Published in Information processing letters (15.12.2011)“…In a recent paper Soleimanfallah and Yeo proposed a kernelization algorithm for vertex cover which, for any fixed constant c, produces a kernel of order 2k-c in polynomial time…”
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A 5k kernel for P2-packing in net-free graphs
Published: IEEE 01.07.2014Published in ICSEC : 2014 International Computer Science and Engineering Conference : July 30, 2014-August 1, 2014 (01.07.2014)“… This problem is NP-hard for net-free graphs. In this paper, we give a kernelization algorithm for the kP 2 -Packing problem in net-free graphs…”
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On optimal streaming kernelization algorithms
ISSN: 1674-733X, 1869-1919Published: Beijing Science China Press 01.08.2024Published in Science China. Information sciences (01.08.2024)Get full text
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Exact and kernelization algorithms for Closet String
ISSN: 2411-1783, 2411-1783Published: Universidad Nacional de Trujillo 30.12.2020Published in Selecciones matemáticas : revista científica del Departamento Académico de Matemáticas (30.12.2020)“… CLOSEST STRING is an NP-hard problem. This paper proposes two linear-time algorithms, one for the general case, a kernelization algorithm, and the other for three-strings, a linear-time algorithm called Minimization First Algorithm (MFA…”
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A quasi-quadratic vertex-kernel for Cograph Edge Editing
ISSN: 0166-218XPublished: Elsevier B.V 15.11.2024Published in Discrete Applied Mathematics (15.11.2024)“…We provide a O(k2logk) vertex kernel for cograph edge editing. This improves a cubic kernel found by Guillemot, Havet, Paul and Perez (Guillemot et al., 2010)…”
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Parameterized complexity for iterated type partitions and modular-width
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 15.06.2024Published in Discrete Applied Mathematics (15.06.2024)“…This paper deals with the complexity of some natural graph problems parameterized by some measures that are restrictions of clique-width, such as modular-width…”
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Algorithms for comparing large pedigree graphs
ISSN: 2735-5977, 2735-5985Published: Academy Publishing Center 30.06.2022Published in Advances in Computing and Engineering (30.06.2022)“…The importance of pedigrees is translated by geneticists as a tool for diagnosing genetic diseases. Errors resulting during collection of data and missing…”
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A Cubic Vertex-Kernel for Trivially Perfect Editing
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.04.2023Published in Algorithmica (01.04.2023)“…We consider the Trivially Perfect Editing problem, where one is given an undirected graph G = ( V , E ) and a parameter k ∈ N and seeks to edit (add or delete)…”
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On the (Non-)Existence of Polynomial Kernels for Pl-Free Edge Modification Problems
ISSN: 0178-4617, 1432-0541Published: New York Springer-Verlag 01.04.2013Published in Algorithmica (01.04.2013)“…Given a graph G =( V , E ) and a positive integer k , an edge modification problem for a graph property Π consists in deciding whether there exists a set F of…”
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Parameterized Complexity of Streaming Diameter and Connectivity Problems
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.09.2024Published in Algorithmica (01.09.2024)“…We initiate the investigation of the parameterized complexity of Diameter and Connectivity in the streaming paradigm. On the positive end, we show that knowing…”
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