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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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Parameterized Power Vertex Cover [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 We study a recently introduced generalization of the Vertex Cover (VC) problem, called Power Vertex Cover (PVC). In this problem, each edge of the input graph is supplied with a positive integer demand.
Eric Angel +3 more
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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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The standard graded property for vertex cover algebras of quasi-trees [PDF]
Le Matematiche, 2008 In [5] the authors characterize the vertex cover algebras which are tandard graded. In this paper we give a simple combinatorial criterion for the standard graded property of vertex cover algebras in the case of quasi-trees.
Alexandru Costantinescu, Le Dinh Nam
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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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A Survey on the k-Path Vertex Cover Problem
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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On The Study of Edge Monophonic Vertex Covering Number
Ratio Mathematica, 2022 For a connected graph G of order n ≥ 2, a set S of vertices of G is an edge monophonic vertex cover of G if S is both an edge monophonic set and a vertex covering set of G.
K.A Francis Jude Shini +3 more
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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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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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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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