Výsledky vyhledávání - "Linear Time Algorithms"
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Brooks‐Type Colourings of Digraphs in Linear Time
ISSN: 0364-9024, 1097-0118Vydáno: Hoboken Wiley Subscription Services, Inc 01.12.2025Vydáno v Journal of graph theory (01.12.2025)“…ABSTRACT Brooks' Theorem is a fundamental result on graph colouring, stating that the chromatic number of a graph is almost always upper bounded by its maximal…”
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On complementarily transitivity of graphs
ISSN: 0304-3975Vydáno: Elsevier B.V 22.12.2025Vydáno v Theoretical computer science (22.12.2025)“…•We show that the Maximum Complementarily Transitivity Decision Problem is NP-complete for chordal graphs and bipartite graphs. We also show that the decision…”
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Solving NP-hard problems on GaTEx graphs: Linear-time algorithms for perfect orderings, cliques, colorings, and independent sets
ISSN: 0304-3975, 1879-2294Vydáno: Elsevier B.V 11.05.2025Vydáno v Theoretical computer science (11.05.2025)“…The class of Galled-Tree Explainable (GaTEx) graphs has recently been discovered as a natural generalization of cographs. Cographs are precisely those graphs…”
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Nearly-Linear Time Seeded Extractors With Short Seeds
ISSN: 0018-9448, 1557-9654Vydáno: IEEE 01.11.2025Vydáno v IEEE transactions on information theory (01.11.2025)“…Seeded extractors are fundamental objects in pseudorandomness and cryptography, and a deep line of work has designed polynomial-time seeded extractors with…”
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Fast rule-based graph programs
ISSN: 0167-6423, 1872-7964Vydáno: Elsevier B.V 01.02.2022Vydáno v Science of computer programming (01.02.2022)“…•Rooted rules are essential for fast rule-based graph algorithms.•Cycle graphs, trees, binary DAGs can be recognised by graph reduction in linear…”
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New sharp lower bound for the quorum coloring number of trees
ISSN: 0020-0190, 1872-6119Vydáno: Elsevier B.V 01.11.2022Vydáno v Information processing letters (01.11.2022)“…•The alliance partition number of a tree has a new sharp lower bound computable in linear time.•This new lower bound is better than all those that have been…”
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Quorum colorings of maximum cardinality in linear time for a subclass of perfect trees
ISSN: 0988-3754, 2804-7346Vydáno: 2025Vydáno v RAIRO. Informatique théorique et applications (2025)“…A partition π = { V 1 , V 2 , …, V k } of the vertex set V of a graph G into k color classes V i , with 1 ≤ i ≤ k is called a quorum coloring of G if for every…”
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The Power of Linear-Time Data Reduction for Maximum Matching
ISSN: 0178-4617, 1432-0541Vydáno: New York Springer US 01.12.2020Vydáno v Algorithmica (01.12.2020)“…Finding maximum-cardinality matchings in undirected graphs is arguably one of the most central graph primitives. For m -edge and n -vertex graphs, it is…”
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New Structures and Algorithms for Length-Constrained Expander Decompositions
ISSN: 2575-8454Vydáno: IEEE 27.10.2024Vydáno v Proceedings / annual Symposium on Foundations of Computer Science (27.10.2024)“…Expander decompositions form the basis of one of the most flexible paradigms for close-to-linear-time graph algorithms. Length-constrained expander…”
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Tight Lower Bounds for Directed Cut Sparsification and Distributed Min-Cut
ISSN: 2836-6573, 2836-6573Vydáno: United States 01.05.2024Vydáno v Proceedings of the ACM on management of data (01.05.2024)“…In this paper, we consider two fundamental cut approximation problems on large graphs. We prove new lower bounds for both problems that are optimal up to…”
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Computing Bend-Minimum Orthogonal Drawings of Plane Series–Parallel Graphs in Linear Time
ISSN: 0178-4617, 1432-0541Vydáno: New York Springer US 01.09.2023Vydáno v Algorithmica (01.09.2023)“…A planar orthogonal drawing of a planar 4-graph G (i.e., a planar graph with vertex-degree at most four) is a crossing-free drawing that maps each vertex of G…”
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ACGraph: Accelerating Streaming Graph Processing via Dependence Hierarchy
Vydáno: IEEE 09.07.2023Vydáno v 2023 60th ACM/IEEE Design Automation Conference (DAC) (09.07.2023)“…Streaming graph processing needs to timely evaluate continuous queries. Prior systems suffer from massive redundant computations due to the irregular order of…”
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Subspace exploration: Bounds on Projected Frequency Estimation
ISSN: 1055-6338Vydáno: 20.06.2021Vydáno v Proceedings of the ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems (20.06.2021)“…Given an n × d dimensional dataset A, a projection query specifies a subset C ⊆ [d] of columns which yields a new n × |C| array. We study the space complexity…”
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14
Folding Every Point on a Polygon Boundary to a Point
ISSN: 1999-4893, 1999-4893Vydáno: Basel MDPI AG 01.06.2023Vydáno v Algorithms (01.06.2023)“…We consider a problem in computational origami. Given a piece of paper as a convex polygon P and a point f located within, we fold every point on a boundary of…”
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Decremental optimization of vertex-colouring under the reconfiguration framework
ISSN: 2379-9927, 2379-9935Vydáno: Taylor & Francis 02.01.2023Vydáno v International journal of computer mathematics. Computer systems theory (02.01.2023)“…Suppose that we are given a positive integer k, and a k-(vertex-)colouring of a given graph G. Then we are asked to find a colouring of G using the minimum…”
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Linear Kernels and Linear-Time Algorithms for Finding Large Cuts
ISSN: 0178-4617, 1432-0541Vydáno: New York Springer US 01.09.2018Vydáno v Algorithmica (01.09.2018)“…The maximum cut problem in graphs and its generalizations are fundamental combinatorial problems. Several of these cut problems were recently shown to be…”
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A linear time algorithm for maximal clique enumeration in large sparse graphs
ISSN: 0020-0190, 1872-6119Vydáno: Elsevier B.V 01.09.2017Vydáno v Information processing letters (01.09.2017)“…A maximal clique is one of the most fundamental dense substructures in an undirected graph, and maximal clique enumeration (MCE) plays an essential role in…”
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A linear-time algorithm for broadcast domination in a tree
ISSN: 0028-3045, 1097-0037Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2009Vydáno v Networks (01.03.2009)“…The broadcast domination problem is a variant of the classical minimum dominating set problem in which a transmitter of power p at vertex v is capable of…”
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Structured Watermarks for Structured Software
ISSN: 2661-8907, 2662-995X, 2661-8907Vydáno: Singapore Springer Nature Singapore 01.06.2024Vydáno v SN computer science (01.06.2024)“…Software watermarking involves integrating an identifier within the software, enabling timely retrieval to disclose authorship/ownership, and deter piracy…”
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Nearly Linear Time Isomorphism Algorithms for Some Nonabelian Group Classes
ISSN: 1432-4350, 1433-0490Vydáno: New York Springer US 01.04.2021Vydáno v Theory of computing systems (01.04.2021)“…The isomorphism problem for groups, when the groups are given by their Cayley tables is a well-studied problem. This problem has been studied for various…”
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