Results 31 to 40 of about 2,495,395 (314)
Domination in graphoidally covered graphs: Least-kernel graphoidal graphs-II
AKCE International Journal of Graphs and Combinatorics, 2018 Given a graph , not necessarily finite, a graphoidal cover of means a collection of non-trivial paths in called -edges, which are not necessarily open (not necessarily finite), such that every vertex of is an internal vertex of at most one path in and ...
Purnima Gupta, Rajesh Singh
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Vertex Cover Kernelization Revisited: Upper and Lower Bounds for a Refined Parameter [PDF]
, 2012 An important result in the study of polynomial-time preprocessing shows that there is an algorithm which given an instance (G,k) of Vertex Cover outputs an equivalent instance (G',k') in polynomial time with the guarantee that G' has at most 2k' vertices
A. Schrijver +43 more
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The Quantum Alternating Operator Ansatz on Maximum k-Vertex Cover [PDF]
International Conference on Quantum Computing and Engineering, 2019 The Quantum Alternating Operator Ansatz is a generalization of the Quantum Approximate Optimization Algorithm (QAOA) designed for finding approximate solutions to combinatorial optimization problems with hard constraints.
Jeremy Cook +2 more
semanticscholar +1 more source
Scientific Reports, 2021 Whenever some phenomenon can be represented as a graph or a network it seems pertinent to explore how much the mathematical properties of that network impact the phenomenon. In this study we explore the same philosophy in the context of immunology.
Arindam Banerjee +2 more
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Vertex Cover Reconfiguration and Beyond
Algorithms, 2018 In the Vertex Cover Reconfiguration (VCR) problem, given a graph G, positive integers k and ℓ and two vertex covers S and T of G of size at most k, we determine whether S can be transformed into T by a sequence of at most ℓ vertex additions or removals ...
Amer E. Mouawad +3 more
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Improved Massively Parallel Computation Algorithms for MIS, Matching, and Vertex Cover [PDF]
ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, 2018 We present O(loglog n) -round algorithms in the Massively Parallel Computation (MPC) model, with Õ (n) memory per machine, that compute a maximal independent set, a 1+ε approximation of maximum matching, and a 2+εapproximation of minimum vertex cover ...
M. Ghaffari +3 more
semanticscholar +1 more source
Generalization of the Cover Pebbling Number for Networks
Frontiers in Physics, 2020 Pebbling can be viewed as a model of resource transportation for networks. We use a graph to denote the network. A pebbling move on a graph consists of the removal of two pebbles from a vertex and the placement of one pebble on an adjacent vertex.
Zheng-Jiang Xia, Zhen-Mu Hong
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Edge Dominating Sets and Vertex Covers
Discussiones Mathematicae Graph Theory, 2013 Bipartite graphs with equal edge domination number and maximum matching cardinality are characterized. These two parameters are used to develop bounds on the vertex cover and total vertex cover numbers of graphs and a resulting chain of vertex covering ...
Dutton Ronald, Klostermeyer William F.
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Dynamic monopolies in simple graphs [PDF]
AUT Journal of Mathematics and ComputingThis paper studies a repetitive polling game played on an $n$-vertex graph $G$. At first, each vertex is colored, Black or White. At each round, each vertex (simultaneously) recolors itself by the color of the majority of its closed neighborhood.
Leila Musavizadeh Jazaeri +1 more
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Dominating Vertex Covers: The Vertex-Edge Domination Problem
Discussiones Mathematicae Graph Theory, 2021 The vertex-edge domination number of a graph, γve(G), is defined to be the cardinality of a smallest set D such that there exists a vertex cover C of G such that each vertex in C is dominated by a vertex in D.
Klostermeyer William F. +2 more
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