Results 21 to 30 of about 2,495,395 (314)
A Massively Parallel Algorithm for Minimum Weight Vertex Cover [PDF]
ACM Symposium on Parallelism in Algorithms and Architectures, 2020 We present a massively parallel algorithm, with near-linear memory per machine, that computes a (2+ε)-approximation of minimum-weight vertex cover in O(log log d) rounds, where d is the average degree of the input graph.
M. Ghaffari, Ce Jin, Daan Nilis
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TS-Reconfiguration of $k$-Path Vertex Covers in Caterpillars for $k \geq 4$
Theory and Applications of Graphs, 2023 A k-path vertex cover (k-PVC) of a graph G is a vertex subset I such that each path on k vertices in G contains at least one member of I. Imagine that a token is placed on each vertex of a k-PVC.
Duc A. Hoang
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Approximation Algorithm for Vertex Cover with Multiple Covering Constraints
Algorithmica, 2021 We consider the vertex cover problem with multiple coverage constraints in hypergraphs. In this problem, we are given a hypergraph G=(V,E)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Eunpyeong Hung, Mong-Jen Kao
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ALGORITMO DE COBERTURA DE VÉRTICES
Revista Ingeniería, Matemáticas y Ciencias de la Información, 2023 Problem to solve P=NP, using the coverage problem of a graph that is NP and convert it to P. In the mathematicaldiscipline of graph theory, a vertex cover, simply a graph cover, is a set of vertices such that each edge of the graph isincident to at least
Javier López Wong
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Verified Approximation Algorithms [PDF]
Logical Methods in Computer Science, 2022 We present the first formal verification of approximation algorithms for NP-complete optimization problems: vertex cover, independent set, set cover, center selection, load balancing, and bin packing.
Robin Eßmann +3 more
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An improved algorithm for the vertex cover $P_3$ problem on graphs of bounded treewidth [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Given a graph $G=(V,E)$ and a positive integer $t\geq2$, the task in the vertex cover $P_t$ ($VCP_t$) problem is to find a minimum subset of vertices $F\subseteq V$ such that every path of order $t$ in $G$ contains at least one vertex from $F$.
Zongwen Bai, Jianhua Tu, Yongtang Shi
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The Price of Connectivity for Vertex Cover [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Graph ...
Eglantine Camby +3 more
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Truly non-trivial graphoidal graphs
AKCE International Journal of Graphs and Combinatorics, 2022 A graphoidal cover of a graph G is a collection [Formula: see text] of non-trivial paths in G, which are not necessarily open, such that every vertex of G is an internal vertex of at most one path in [Formula: see text] and every edge of G is in exactly ...
Rajesh Singh, Purnima Gupta, S. Arumugam
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Improved Approximations for Min Sum Vertex Cover and Generalized Min Sum Set Cover [PDF]
ACM-SIAM Symposium on Discrete Algorithms, 2020 We study the generalized min sum set cover (GMSSC) problem, wherein given a collection of hyperedges $E$ with arbitrary covering requirements $k_e$, the goal is to find an ordering of the vertices to minimize the total cover time of the hyperedges; a ...
N. Bansal +3 more
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Dimension Incremental Feature Selection Approach for Vertex Cover of Hypergraph Using Rough Sets
IEEE Access, 2018 The minimum vertex cover problem is a well-known optimization problem; it has been used in a wide variety of applications. This paper focuses on rough set-based approach for the minimum vertex cover problem of the dynamic and static hypergraphs.
Qian Zhou, Xiaolin Qin, Xiaojun Xie
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