Fong, Wan Heng and Salleh, Shaharuddin (2004) A visual tool for determining the maximum independent set of a graph using the polynomial formulation method. Jurnal Teknologi, 41 . pp. 65-72.
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Maximum independent set is a prototype problem in a graph theory that has many applications in engineering and science. In this paper, we study the problem of determining the largest number of maximum independent sets of a graph G (V, E) of order n using polynomial formulations. This method uses the first and second order neighbourhoods of nodes to determine whether a node is in the maximum independent set. This involves the maximization of an n-variable polynomial, where n is the number of nodes in G. Finally, we present a visual tool developed using the Visual C++ programming language for solving the maximum independent set problem.
|Uncontrolled Keywords:||independent set, polynomial formulation, second-order neighbourhood.|
|Subjects:||T Technology > T Technology (General)|
|Deposited By:||S.N.Shahira Dahari|
|Deposited On:||06 Jul 2011 01:48|
|Last Modified:||06 Jul 2011 01:48|
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