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On \(\sigma\)-polynomials - MaRDI portal

On \(\sigma\)-polynomials (Q1111560)

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scientific article; zbMATH DE number 4075089
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English
On \(\sigma\)-polynomials
scientific article; zbMATH DE number 4075089

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    On \(\sigma\)-polynomials (English)
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    1988
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    This paper discusses properties of \(\sigma\)-polynomials (which are closely related to chromatic polynomials in factorial form), and characterizes those that are quadratic. The number of graphs with a given quadratic \(\sigma\)-polynomials is derived, as well as the number of quadratic \(\sigma\)-polynomials, \(\sigma^ 2+a\sigma +b\), for a given a.
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    sigma-polynomial
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    \(\sigma\)-polynomials
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    chromatic polynomials
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    quadratic \(\sigma\)-polynomials
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