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About the finding of independent vertices of a graph

Anatoly D. Plotnikov

cs.DSarXiv:cs/0003078

Abstract

We examine the Maximum Independent Set Problem in an undirected graph. The main result is that this problem can be considered as the solving the same problem in a subclass of the weighted normal twin-orthogonal graphs. The problem is formulated which is dual to the problem above. It is shown that, for trivial twin-orthogonal graphs, any of its maximal independent set is also maximum one.

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