Geodesic
On a Graph Transformation That Preserves the Stability Number
Yugoslav journal of operations research, Tome 10 (2000) no. 1, p. 1 .

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We derive from Boolean methods a transformation which, when applicable, builds from a given graph a new graph with the same stability number and with the number of vertices decreased by one. We next describe classes of graphs for which such a transformation leads to a polynomial algorithm for computing the stability number.
Classification : 05C85
Keywords: Boolean methods, stability number, polynomial algorithms. 
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Alain Hertz. On a Graph Transformation That Preserves the Stability Number. Yugoslav journal of operations research, Tome 10 (2000) no. 1, p. 1 . http://geodesic.mathdoc.fr/item/YJOR_2000_10_1_a0/