Search Results - "parameterized algorithm"
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1
Parameterized complexity of categorical clustering with size constraints
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.09.2023Published in Journal of computer and system sciences (01.09.2023)“…In the Categorical Clustering problem, we are given a set of vectors (matrix) A={a1,…,an} over Σm, where Σ is a finite alphabet, and integers k and B. The task…”
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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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Fixed parameterized algorithms for generalized feedback vertex set problems
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 10.04.2023Published in Theoretical computer science (10.04.2023)“…A graph is an r-pseudoforest if every connected component of it has a feedback edge set of size at most r. A graph is a d-quasi-forest if every connected…”
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On the complexity of the Cable-Trench Problem
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 15.12.2023Published in Discrete Applied Mathematics (15.12.2023)“…The Cable-Trench Problem (CTP) is a common generalization of the Single-Source Shortest Paths Problem (SSSP) and the Minimum Spanning Tree Problem (MST): given…”
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Vertex partitioning problems on graphs with bounded tree width
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 15.10.2022Published in Discrete Applied Mathematics (15.10.2022)“…In an undirected graph, a matching cut is a partition of vertices into two sets such that the edges across the sets induce a matching. The Matching Cut problem…”
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Improved upper bounds for vertex cover
ISSN: 0304-3975Published: Oxford Elsevier 06.09.2010Published in Theoretical computer science (06.09.2010)“…This paper presents an O ( 1.273 8 k + k n ) -time polynomial-space algorithm for Vertex Cover improving the previous O ( 1.28 6 k + k n ) -time…”
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7
Colouring a dominating set without conflicts: q-Subset Square Colouring
ISSN: 0304-3975Published: Elsevier B.V 17.10.2023Published in Theoretical computer science (17.10.2023)“…The Square Colouring of a graph G refers to colouring of vertices of a graph such that any two distinct vertices which are at distance at most two receive…”
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On the complexity of and solutions to the minimum stopping and trapping set problems
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 14.05.2022Published in Theoretical computer science (14.05.2022)“…In this paper, we discuss the problems of finding minimum stopping sets and trapping sets in Tanner graphs, using integer linear programming. These problems…”
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Faster Exact and Approximate Algorithms for k-Cut
ISSN: 2575-8454Published: IEEE 01.10.2018Published in 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS) (01.10.2018)“…In the k-cut problem, we are given an edge-weighted graph G and an integer k, and have to remove a set of edges with minimum total weight so that G has at…”
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Long directed (s,t)-path: FPT algorithm
ISSN: 0020-0190, 1872-6119Published: Elsevier B.V 01.12.2018Published in Information processing letters (01.12.2018)“…Given a digraph G, two vertices s,t∈V(G) and a non-negative integer k, the Long Directed(s,t)-Path problem asks whether G has a path of length at least k from…”
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Deterministic parameterized algorithms for the Graph Motif problem
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 20.11.2016Published in Discrete Applied Mathematics (20.11.2016)“…We study the classic Graph Motif problem. Given a graph G=(V,E) with a set of colors for each node, and a multiset M of colors, we seek a subtree T⊆G, and a…”
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Representative families: A unified tradeoff-based approach
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.05.2016Published in Journal of computer and system sciences (01.05.2016)“…Given a matroid M=(E,I), and a family S of p-subsets of E, a subfamily Sˆ⊆S represents S if for any X∈S and Y⊆E∖X satisfying X∪Y∈I, there is a set Xˆ∈Sˆ…”
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13
A multivariate framework for weighted FPT algorithms
ISSN: 0022-0000, 1090-2724Published: Elsevier Inc 01.11.2017Published in Journal of computer and system sciences (01.11.2017)“…We introduce a multivariate approach for solving weighted parameterized problems. By allowing flexible use of parameters, our approach defines a framework for…”
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Dealing with 4-variables by resolution: An improved MaxSAT algorithm
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 29.03.2017Published in Theoretical computer science (29.03.2017)“…We study techniques for solving the Maximum Satisfiability problem (MaxSAT). Our focus is on variables of degree 4. We identify cases for degree-4 variables…”
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New Frontiers in Parameterized Complexity and Algorithms
ISBN: 9783725813025, 3725813019, 9783725813018, 3725813027Published: MDPI - Multidisciplinary Digital Publishing Institute 2024“…The research on parameterized complexity (PC), described in these peer-reviewed chapters by esteemed researchers, provides ties to practice as well as new…”
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A golden ratio parameterized algorithm for Cluster Editing
ISSN: 1570-8667, 1570-8675Published: Elsevier B.V 01.10.2012Published in Journal of discrete algorithms (Amsterdam, Netherlands) (01.10.2012)“…The Cluster Editing problem asks to transform a graph by at most k edge modifications into a disjoint union of cliques. The problem is NP-complete, but several…”
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A Polynomial Kernel for Funnel Arc Deletion Set
ISSN: 0178-4617, 1432-0541Published: New York Springer US 01.08.2022Published in Algorithmica (01.08.2022)“…In Directed Feedback Arc Set ( DFAS ) we search for a set of at most k arcs which intersect every cycle in the input digraph. It is a well-known open problem…”
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18
The label cut problem with respect to path length and label frequency
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 04.10.2016Published in Theoretical computer science (04.10.2016)“…Given a graph with labels defined on edges and a source-sink pair (s,t), the Labels-tCut problem asks for a minimum number of labels such that the removal of…”
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19
Matching and Weighted P2-Packing: Algorithms and Kernels
ISSN: 0304-3975, 1879-2294Published: Elsevier B.V 20.02.2014Published in Theoretical computer science (20.02.2014)“…Parameterized algorithms and kernelization algorithms are presented for the weighted P2-Packing problem, which is a generalization of the famous Graph Matching…”
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On parse trees and Myhill–Nerode-type tools for handling graphs of bounded rank-width
ISSN: 0166-218X, 1872-6771Published: Elsevier B.V 06.04.2010Published in Discrete Applied Mathematics (06.04.2010)“…Rank-width is a structural graph measure introduced by Oum and Seymour and aimed at better handling of graphs of bounded clique-width. We propose a formal…”
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