Branch and bound algorithm for finding the maximum clique problem

We present a branch and bound algorithm for the maximum clique problem in arbitrary graphs. The main part of the algorithm consists in the determination of upper bounds by graph colorings. Using a modification of a known graph coloring method called heuristic greedy we simultaneously derive lower an...

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Bibliographic Details
Main Authors: Suyudi, M., Sukono, ., Mamat, M., Bon, A.T.
Format: Conference or Workshop Item
Language:English
Published: 2018
Subjects:
Online Access:http://eprints.unisza.edu.my/1640/1/FH03-FIK-18-14917.jpg
http://eprints.unisza.edu.my/1640/
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Institution: Universiti Sultan Zainal Abidin
Language: English
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Summary:We present a branch and bound algorithm for the maximum clique problem in arbitrary graphs. The main part of the algorithm consists in the determination of upper bounds by graph colorings. Using a modification of a known graph coloring method called heuristic greedy we simultaneously derive lower and upper bounds for the clique number.