A Genetic Algorithm-Based Heuristic for Solving the Weighted Maximum Independent Set and Some Equivalent Problems

1997 ◽  
Vol 48 (6) ◽  
pp. 612
Author(s):  
M. Hifi
Keyword(s):  
Genetic Algorithm ◽  
Independent Set ◽  
Maximum Independent Set ◽  
Equivalent Problems

scholarly journals An unconstrained binary quadratic programming for the maximum independent set problem

2012 ◽  
Vol 17 (4) ◽  
pp. 410-417
Author(s):  
Sidi Mohamed Douiri ◽  
Souad Elbernoussi
Keyword(s):  
Genetic Algorithm ◽  
Quadratic Programming ◽  
Numerical Experiments ◽  
Independent Set ◽  
Maximum Independent Set ◽  
Binary Programming ◽  
Independent Set Problem ◽  
New Model ◽  
Maximum Independent Set Problem ◽  
Unconstrained Binary Quadratic Programming

For a given graph G = (V, E) the maximum independent set problem is to find the largest subset of pairwise nonadjacent vertices. We propose a new model which is a reformulation of the maximum independent set problem as an unconstrained quadratic binary programming, and we resolve it afterward by means of a genetic algorithm. The efficiency of the approach is confirmed by results of numerical experiments on DIMACS benchmarks.

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