Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem

Background and Objective: The process of solving the Maximum Clique (MC) problem through approximation algorithms is harder, however, the Maximum Vertex Cover (MVC) problem can easily be solved using approximation algorithms. In this paper, a technique has been proposed to use the approximation algo...

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Main Authors: Fayaz, Muhammad, Arshad,, Shakeel, Shah,, Abdul Salam, Shah, Asadullah
格式: Article
语言:English
English
出版: Science and Engineering Research Support Society (SERSC) 2018
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在线阅读:http://irep.iium.edu.my/63287/7/63287%20Approximate%20maximum%20clique%20algorithm%20SCOPUS.pdf
http://irep.iium.edu.my/63287/13/63287_Approximate%20maximum%20clique%20algorithm%20%28AMCA%29.pdf
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http://www.sersc.org/journals/IJCA/vol11_no3.php
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spelling my.iium.irep.632872018-07-31T01:26:22Z http://irep.iium.edu.my/63287/ Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem Fayaz, Muhammad Arshad,, Shakeel Shah,, Abdul Salam Shah, Asadullah T Technology (General) T10.5 Communication of technical information Background and Objective: The process of solving the Maximum Clique (MC) problem through approximation algorithms is harder, however, the Maximum Vertex Cover (MVC) problem can easily be solved using approximation algorithms. In this paper, a technique has been proposed to use the approximation algorithms of Minimum Vertex Cover (MVC) for the solution of the Maximum Cliques (MC) problem. Material and methods: To test the proposed technique, selected approximation algorithms have been developed to small graph instances. The algorithms that were used for experiments are Maximum Degree Greedy (MDG). Vertex support Algorithm (VSA). Mean of Neighbors of Minimum Degree Algorithm (MNMA), Modified Vertex Support Algorithm (MVSA), Maximum Adjacent Minimum Degree Algorithm (MAMA), and Clever Steady Strategy Algorithms (CSSA). Results: The development of an efficient approximation algorithm for the Maximum Clique (MC) problem is very difficult due to its complex nature. The only way left is to use the approximation algorithm of Minimum Vertex Cover (MVC) for the solution of the Maximum Clique (MC) problem. The experimental analysis of the proposed algorithm has revealed that the Maximum Clique (MC) problem can be efficiently solved with approximation algorithms of Minimum Vertex Cover (MVC). The proposed algorithm has efficiently solved the MC problem within the reduced time limit. conclusions: It is a difficult task to directly solve the MC problem through approximation algorithms. The proposed method provides a platform to efficiently solve the MC problem by using approximation algorithm of Minimum Vertex Cover (MVC). Science and Engineering Research Support Society (SERSC) 2018 Article PeerReviewed application/pdf en http://irep.iium.edu.my/63287/7/63287%20Approximate%20maximum%20clique%20algorithm%20SCOPUS.pdf application/pdf en http://irep.iium.edu.my/63287/13/63287_Approximate%20maximum%20clique%20algorithm%20%28AMCA%29.pdf Fayaz, Muhammad and Arshad,, Shakeel and Shah,, Abdul Salam and Shah, Asadullah (2018) Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem. International Journal of control and Automation, 11 (3). pp. 35-44. ISSN 2005-4297 http://www.sersc.org/journals/IJCA/vol11_no3.php
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
English
topic T Technology (General)
T10.5 Communication of technical information
spellingShingle T Technology (General)
T10.5 Communication of technical information
Fayaz, Muhammad
Arshad,, Shakeel
Shah,, Abdul Salam
Shah, Asadullah
Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
description Background and Objective: The process of solving the Maximum Clique (MC) problem through approximation algorithms is harder, however, the Maximum Vertex Cover (MVC) problem can easily be solved using approximation algorithms. In this paper, a technique has been proposed to use the approximation algorithms of Minimum Vertex Cover (MVC) for the solution of the Maximum Cliques (MC) problem. Material and methods: To test the proposed technique, selected approximation algorithms have been developed to small graph instances. The algorithms that were used for experiments are Maximum Degree Greedy (MDG). Vertex support Algorithm (VSA). Mean of Neighbors of Minimum Degree Algorithm (MNMA), Modified Vertex Support Algorithm (MVSA), Maximum Adjacent Minimum Degree Algorithm (MAMA), and Clever Steady Strategy Algorithms (CSSA). Results: The development of an efficient approximation algorithm for the Maximum Clique (MC) problem is very difficult due to its complex nature. The only way left is to use the approximation algorithm of Minimum Vertex Cover (MVC) for the solution of the Maximum Clique (MC) problem. The experimental analysis of the proposed algorithm has revealed that the Maximum Clique (MC) problem can be efficiently solved with approximation algorithms of Minimum Vertex Cover (MVC). The proposed algorithm has efficiently solved the MC problem within the reduced time limit. conclusions: It is a difficult task to directly solve the MC problem through approximation algorithms. The proposed method provides a platform to efficiently solve the MC problem by using approximation algorithm of Minimum Vertex Cover (MVC).
format Article
author Fayaz, Muhammad
Arshad,, Shakeel
Shah,, Abdul Salam
Shah, Asadullah
author_facet Fayaz, Muhammad
Arshad,, Shakeel
Shah,, Abdul Salam
Shah, Asadullah
author_sort Fayaz, Muhammad
title Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
title_short Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
title_full Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
title_fullStr Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
title_full_unstemmed Approximate maximum clique algorithm (AMCA): A clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
title_sort approximate maximum clique algorithm (amca): a clever technique for solving the maximum clique problem through near optimal algorithm for minimum vertex cover problem
publisher Science and Engineering Research Support Society (SERSC)
publishDate 2018
url http://irep.iium.edu.my/63287/7/63287%20Approximate%20maximum%20clique%20algorithm%20SCOPUS.pdf
http://irep.iium.edu.my/63287/13/63287_Approximate%20maximum%20clique%20algorithm%20%28AMCA%29.pdf
http://irep.iium.edu.my/63287/
http://www.sersc.org/journals/IJCA/vol11_no3.php
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