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On point-linear arboricity of planar graphs - MaRDI portal

On point-linear arboricity of planar graphs (Q1115876)

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scientific article; zbMATH DE number 4087678
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On point-linear arboricity of planar graphs
scientific article; zbMATH DE number 4087678

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    On point-linear arboricity of planar graphs (English)
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    1988
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    The point-linear arboricity \(\rho_ 0(G)\) of a graph G is defined to be the minimal k for which there exists a partition of vertices of G into k subsets such that each of the subsets induces a linear forest in G. The author proves that \(\rho_ 0(G)\leq 4\) if G is planar.
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    planar graph
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    outerplanar graph
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    point-linear arboricity
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