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    Vertex-arboricity

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    Let G be k-critical graph with respect to vertex-arboricity (k>=3). Prove that for each vertex v of G, the graph G-v is not (k-1)-critical with respect to vertex-arboricity.

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    https://brainmass.com/math/vector-calculus/vertex-arboricity-proof-7558

    Solution Preview

    Proof. If not, then there exists a vertex v of G such that G-v is (k-1)-critical which means that for each ...

    Solution Summary

    This is a proof regarding vertex-arboricity. The critical graph with respect to vertex arboricity is analyzed.

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