Spin glass approach to the feedback vertex set problem
نویسندگان
چکیده
منابع مشابه
Spin glass approach to the feedback vertex set problem
A feedback vertex set (FVS) of an undirected graph is a set of vertices that contains at least one vertex of each cycle of the graph. The feedback vertex set problem consists of constructing a FVS of size less than a certain given value. This combinatorial optimization problem has many practical applications, but it is in the nondeterministic polynomial-complete class of worst-case computationa...
متن کاملA spin glass approach to the directed feedback vertex set problem
Abstract. A directed graph (digraph) is formed by vertices and arcs (directed edges) from one vertex to another. A feedback vertex set (FVS) is a set of vertices that contains at least one vertex of every directed cycle in this digraph. The directed feedback vertex set problem aims at constructing a FVS of minimum cardinality. This is a fundamental cycle-constrained hard combinatorial optimizat...
متن کاملDirected Feedback Vertex Set Problem is FPT
To decide if the parameterized feedback vertex set problem in directed graph is fixed-parameter tractable is a long time open problem. In this paper, we prove that the parameterized feedback vertex set in directed graph is fixed-parameter tractable and give the first FPT algorithm of running time O((1.48k)n) for it. As the feedback arc set problem in directed graph can be transformed to a feedb...
متن کاملDeterministic Algorithms for the Independent Feedback Vertex Set Problem
A feedback vertex set F of an undirected graph G is a vertex subset of G whose removal results in a forest. Such a set F is said to be independent if F forms an independent set of G. In this paper, we study the problem of finding an independent feedback vertex set of a given graph with the minimum number of vertices, from the viewpoint of graph classes. This problem is NP-hard even for planar b...
متن کاملSolving the undirected feedback vertex set problem by local search
An undirected graph consists of a set of vertices and a set of undirected edges between vertices. Such a graph may contain an abundant number of cycles, then a feedback vertex set (FVS) is a set of vertices intersecting with each of these cycles. Constructing a FVS of cardinality approaching the global minimum value is a optimization problem in the nondeterministic polynomial-complete complexit...
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ژورنال
عنوان ژورنال: The European Physical Journal B
سال: 2013
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2013-40690-1