Results 11 to 20 of about 17,874 (261)
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
Sudipto Guha +3 more
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Angle Covers: Algorithms and Complexity
Journal of Graph Algorithms and Applications, 2021 Consider a graph with a rotation system, namely, for every vertex, a circular ordering of the incident edges. Given such a graph, an angle cover maps every vertex to a pair of consecutive edges in the ordering- an angle- such that each edge ...
William Evans +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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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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Stackelberg Vertex Cover on a Path
, 2023 22 pages, 2 figures, 4 algorithms, extended abstract published at ...
Katharina Eickhoff +2 more
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On Cutwidth Parameterized by Vertex Cover [PDF]
Algorithmica, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marek Cygan +4 more
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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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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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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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