Results 11 to 20 of about 165,545 (275)
Capacitated vertex covering [PDF]
Journal of Algorithms, 2003 Summary: In this paper we study the capacitated vertex cover problem, a generalization of the well-known vertex cover problem. Given a graph \(G=(V,E)\) with weights on the vertices, the goal is to cover all the edges by picking a cover of minimum weight from the vertices. When we pick a copy of a vertex, we pay the weight of the vertex and cover up to
Guha, Sudipto +3 more
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On graphs whose eternal vertex cover number and vertex cover number coincide [PDF]
Discrete Applied Mathematics, 2022 Preliminary version appeared in CALDAM ...
Jasine Babu +5 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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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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Squarefree Vertex Cover Algebras [PDF]
Communications in Algebra, 2013 In this paper we introduce squarefree vertex cover algebras. We study the question when these algebras coincide with the ordinary vertex cover algebras and when these algebras are standard graded. In this context we exhibit a duality theorem for squarefree vertex cover algebras.
Bayati, Shamila, Rahmati, Farhad
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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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Vertex cover and Edge vertex domination in trees
Proyecciones (Antofagasta), 2021 Let G = (V,E) be a simple graph. An edge e ∈ E(G) edge-vertex dominates a vertex v ∈ V (G) if e is incident with v or e is incident with a vertex adjacent to v. A subset D ⊆ E(G) is an edge-vertex dominating set of a graph G if every vertex of G is edge-vertex dominated by an edge of D.
Senthilkumar, B. +2 more
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p-Edge/vertex-connected vertex cover: Parameterized and approximation algorithms
Journal of Computer and System Sciences, 2023 We introduce and study two natural generalizations of the Connected VertexCover (VC) problem: the $p$-Edge-Connected and $p$-Vertex-Connected VC problem (where $p \geq 2$ is a fixed integer). Like Connected VC, both new VC problems are FPT, but do not admit a polynomial kernel unless $NP \subseteq coNP/poly$, which is highly unlikely.
Carl Einarson +4 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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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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