Extending the Max Algorithm for maximum independent set
نویسندگان
چکیده
منابع مشابه
Extending the Max Algorithm for maximum independent set
The maximum independent set problem is an NP-hard problem. In this paper, we consider Algorithm MAX, which is a polynomial time algorithm for finding a maximal independent set in a graph G. We present a set of forbidden induced subgraphs such that Algorithm MAX always results in finding a maximum independent set ofG. We also describe two modifications of Algorithm MAX and sets of forbidden indu...
متن کاملExperimental Algorithm for the Maximum Independent Set Problem
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,...
متن کاملAn Optimal Algorithm to Find Maximum Independent Set and Maximum 2-Independent Set on Cactus Graphs
A cactus graph is a connected graph in which every block is either an edge or a cycle. An optimal algorithm is presented here to find a maximum independent set and maximum 2-independent set on cactus graphs in O(n) time, where n is the total number of vertices of the graph. The cactus graph has many applications in real life problems, specially in radio communication system.
متن کاملMessage Passing for Max-weight Independent Set
We investigate the use of message-passing algorithms for the problem of finding the max-weight independent set (MWIS) in a graph. First, we study the performance of loopy max-product belief propagation. We show that, if it converges, the quality of the estimate is closely related to the tightness of an LP relaxation of the MWIS problem. We use this relationship to obtain sufficient conditions f...
متن کاملMax Product for Max-Weight Independent Set and Matching
The Max Product (MP) is a local, iterative, message passing style algorithm that has been developed for finding the maximum a posteriori (MAP) assignment of discrete probability distribution specified by a graphical model. The scope of application of MP is vast and in particular it can serve as a heuristic to solve any combinatorial optimization problem. Despite the success of MP algorithm in t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Discussiones Mathematicae Graph Theory
سال: 2015
ISSN: 1234-3099,2083-5892
DOI: 10.7151/dmgt.1811