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Bounding the number of circuits of a graph - MaRDI portal

Bounding the number of circuits of a graph (Q2563510)

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Bounding the number of circuits of a graph
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    Bounding the number of circuits of a graph (English)
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    20 May 1997
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    Let \(c(G)\) be the number of circuits in a graph \(G\). A minor-closed class \(\Omega\) of graphs is called a poly-class if there exists a polynomial function \(p\) so that \(c(G)\leq p(|E(G) |)\) for every graph from \(\Omega\). It is shown that there is a simple characterization of poly-classes by means of forbidden families of graphs.
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    minor
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    circuits
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    poly-class
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    polynomial function
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