Results 1 to 10 of about 2,372,931 (298)
A Survey on the k-Path Vertex Cover Problem [PDF]
Axioms, 2022 Given an integer k ≥ 2, a k-path is a path on k vertices. A set of vertices in a graph G is called a k-path vertex cover if it includes at least one vertex of every k-path of G.
Jianhua Tu
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Self-Stabilizing Capacitated Vertex Cover Algorithms for Internet-of-Things-Enabled Wireless Sensor Networks [PDF]
Sensors, 2022 Wireless sensor networks (WSNs) achieving environmental sensing are fundamental communication layer technologies in the Internet of Things. Battery-powered sensor nodes may face many problems, such as battery drain and software problems.
Yasin Yigit +2 more
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A Constructive Characterization of Vertex Cover Roman Trees
Discussiones Mathematicae Graph Theory, 2021 A Roman dominating function on a graph G = (V (G), E(G)) is a function f : V (G) → {0, 1, 2} satisfying the condition that every vertex u for which f (u) = 0 is adjacent to at least one vertex v for which f (v) = 2.
Martínez Abel Cabrera +2 more
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TIVC: An Efficient Local Search Algorithm for Minimum Vertex Cover in Large Graphs. [PDF]
Sensors (Basel), 2023 The minimum vertex cover (MVC) problem is a canonical NP-hard combinatorial optimization problem aiming to find the smallest set of vertices such that every edge has at least one endpoint in the set.
Zhang Y, Wang S, Liu C, Zhu E.
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A faster algorithm for Vertex Cover parameterized by solution size [PDF]
Symposium on Theoretical Aspects of Computer Science, 2022 We describe a new algorithm for vertex cover with runtime $O^*(1.25284^k)$, where $k$ is the size of the desired solution and $O^*$ hides polynomial factors in the input size. This improves over previous runtime of $O^*(1.2738^k)$ due to Chen, Kanj,&Xia (
David G. Harris, N. S. Narayanaswamy
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Improving Vertex Cover as a Graph Parameter [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Parameterized algorithms are often used to efficiently solve NP-hard problems on graphs. In this context, vertex cover is used as a powerful parameter for dealing with graph problems which are hard to solve even when parameterized by tree-width; however,
Robert Ganian
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Solving large Minimum Vertex Cover problems on a quantum annealer [PDF]
ACM International Conference on Computing Frontiers, 2019 We consider the minimum vertex cover problem having applications in e.g. biochemistry and network security. Quantum annealers can find the optimum solution of such NP-hard problems, given they can be embedded on the hardware. This is often infeasible due
Elijah Pelofske +2 more
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An Exact Algorithm for Minimum Vertex Cover Problem
Mathematics, 2019 In this paper, we propose a branch-and-bound algorithm to solve exactly the minimum vertex cover (MVC) problem. Since a tight lower bound for MVC has a significant influence on the efficiency of a branch-and-bound algorithm, we define two novel lower ...
Luzhi Wang +3 more
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The Complexity of Temporal Vertex Cover in Small-Degree Graphs [PDF]
AAAI Conference on Artificial Intelligence, 2022 Temporal graphs naturally model graphs whose underlying topology changes over time. Recently, the problems Temporal Vertex Cover (or TVC) and Sliding-Window Temporal Vertex Cover (or Delta-TVC for time-windows of a fixed-length Delta) have been ...
Thekla Hamm +3 more
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Vertex decomposability of complexes associated to forests [PDF]
Transactions on Combinatorics, 2022 In this article, we discuss the vertex decomposability of three well-studied simplicial complexes associated to forests. In particular, we show that the bounded degree complex of a forest and the complex of directed trees of a multidiforest is ...
Anurag Singh
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