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1,432
Parameterized Complexity of Vertex Cover Variants
, 2006
"... Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum ..."
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Cited by 22 (5 self)
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Important variants of the Vertex Cover problem (among others, Connected Vertex Cover, Capacitated Vertex Cover, and Maximum
Properties of Vertex Cover Obstructions
, 2004
"... We study properties of O(k–Vertex Cover) which denotes all forbidden graphs (as minors) to the family of graphs with vertex cover at most k, k ≥ 0. Our main result is to give a tight vertex bound of O(k–Vertex Cover), and then confirm a conjecture made by Liu Xiong that “The cycle C2k+1 is the only ..."
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We study properties of O(k–Vertex Cover) which denotes all forbidden graphs (as minors) to the family of graphs with vertex cover at most k, k ≥ 0. Our main result is to give a tight vertex bound of O(k–Vertex Cover), and then confirm a conjecture made by Liu Xiong that “The cycle C2k+1 is the only
Vertex Covering and Independence in Semigraph
, 2013
"... Vertex covering and independence have been wellstudied concepts in graph theory. These concepts have also been defined in semigraph. In this paper we consider a subsemigraph G v − of a semigraph G where v is vertex of G. We prove that for one such subsemigraph G v − the vertex covering number d ..."
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Cited by 3 (0 self)
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Vertex covering and independence have been wellstudied concepts in graph theory. These concepts have also been defined in semigraph. In this paper we consider a subsemigraph G v − of a semigraph G where v is vertex of G. We prove that for one such subsemigraph G v − the vertex covering number
Capacitated vertex covering
 JOURNAL OF ALGORITHMS
, 2003
"... In this paper we study the capacitated vertex cover problem, a generalization of the wellknown 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 ..."
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Cited by 21 (2 self)
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In this paper we study the capacitated vertex cover problem, a generalization of the wellknown 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
Capacitated Vertex Covering with Applications
 Proc. ACMSIAM Symp. on Discrete Algorithms
, 2002
"... 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 p ..."
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Cited by 10 (5 self)
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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
Evolutionary Algorithms for Vertex Cover
 PROC. OF EVOLUTIONARY PROGRAMMING VII, VOLUME 1447 OF LNCS
, 1998
"... This paper reports work investigating various evolutionary approaches to vertex cover (VC), a wellknown NPHard optimization problem. Central to each of the algorithms is a novel encoding scheme for VC and related problems that treats each chromosome as a binary decision diagram. As a result, the e ..."
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Cited by 11 (0 self)
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This paper reports work investigating various evolutionary approaches to vertex cover (VC), a wellknown NPHard optimization problem. Central to each of the algorithms is a novel encoding scheme for VC and related problems that treats each chromosome as a binary decision diagram. As a result
Refined memorization for vertex cover
, 2004
"... Memorization is a technique which allows to speed up exponential recursive algorithms at the cost of an exponential space complexity. This technique already leads to the currently fastest algorithm for fixedparameter vertex cover, whose time complexity is O(1.2832kk 1.5 + kn), wherenisthenumber of ..."
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Cited by 8 (1 self)
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Memorization is a technique which allows to speed up exponential recursive algorithms at the cost of an exponential space complexity. This technique already leads to the currently fastest algorithm for fixedparameter vertex cover, whose time complexity is O(1.2832kk 1.5 + kn), wherenisthenumber
Vertex cover reconfiguration and beyond
, 2014
"... Abstract. In the Vertex Cover Reconfiguration (VCR) problem, given graph G = (V,E), positive integers k and `, 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 ` vertex additions or removals such that each operation res ..."
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Cited by 3 (3 self)
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Abstract. In the Vertex Cover Reconfiguration (VCR) problem, given graph G = (V,E), positive integers k and `, 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 ` vertex additions or removals such that each operation
Refined Memorisation for Vertex Cover
"... Memorisation is a technique which allows to speed up exponential recursive algorithms at the cost of an exponential space complexity. This technique already leads to the currently fastest algorithm for fixedparameter vertex cover, whose time complexity is O(1.2832 k k 1.5 + kn), where n is the num ..."
Abstract

Cited by 6 (0 self)
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Memorisation is a technique which allows to speed up exponential recursive algorithms at the cost of an exponential space complexity. This technique already leads to the currently fastest algorithm for fixedparameter vertex cover, whose time complexity is O(1.2832 k k 1.5 + kn), where n
The Price of Connectivity for Vertex Cover
, 2014
"... The vertex cover number of a graph is the minimum number of vertices that are needed to cover all edges. When those vertices are further required to induce a connected subgraph, the corresponding number is called the connected vertex cover number, and is always greater or equal to the vertex cover n ..."
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Cited by 2 (0 self)
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The vertex cover number of a graph is the minimum number of vertices that are needed to cover all edges. When those vertices are further required to induce a connected subgraph, the corresponding number is called the connected vertex cover number, and is always greater or equal to the vertex cover
Results 1  10
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1,432