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G-91-40

On a Transformation which Preserves the Stability Number

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We derive from Boolean methods a transformation which, when it can be applied, builds from a graph G = (V,E) a new graph G'= (V',E') with the same stability number and such that |V'| = |V| - 1. We next describe a class of graphs for which such a transformation leads to polynomial algorithm for computing the stability number.

, 17 pages

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