Decomposing a planar graph into an independent set and a 3-degenerate graph

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    Abstract

    We prove the conjecture made by O.V.Borodin in 1976 that the vertex set of every planar graph can be decomposed into an independent set and aset inducing a $3$-degenerate graph.
    Original languageEnglish
    Number of pages8
    Publication statusPublished - 2000

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