On sequential heurestic methods for the maximum independent set problem
نویسندگان
چکیده
منابع مشابه
The maximum independent set problem on layered graphs
The independent set on a graph G = (V, E) is a subset of V such that no two vertices in the subset have an edge between them. The maximum independent set problem on G seeks to identify an independent set with maximum cardinality, i.e. maximum independent set or MIS. The maximum independent set problem on a general graph is known to be NP-complete. On certain classes of graphs MIS can be compute...
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Computing high-quality independent sets quickly is an important problem in combinatorial optimization. Several recent algorithms have shown that kernelization techniques can be used to find exact maximum independent sets in medium-sized sparse graphs, as well as high-quality independent sets in huge sparse graphs that are intractable for exact (exponential-time) algorithms. However, a major dra...
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We develop an experimental algorithm of exact solving for the maximum independent set problem. The algorithm consecutively finds the maximal independent sets of vertices in an arbitrary undirected graph such that the next such set contains more elements than preceding one. For this purpose, we use a technique, developed by Ford and Fulkerson for the finite partially ordered sets, in particular,...
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Given a graph G = (V, E), the independent set problem is that of finding a maximum-cardinality subset S of V such that no two vertices in S are adjacent. We present a fast local search routine for this problem. Our algorithm can determine in linear time if a maximal solution can be improved by replacing a single vertex with two others. We also show that an incremental version of this method can...
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The problem of finding a maximum independent set in an undirected graph is a well known NP-hard problem. On the other hand, the critical independent set problem is polynomially solvable. The relationship between these two problems is studied and a method that utilizes a nonempty critical independent set for solving the maximum independent set problem is developed. The efficiency of the proposed...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae Graph Theory
سال: 2017
ISSN: 1234-3099,2083-5892
DOI: 10.7151/dmgt.1965