Independence polynomials and hypergeometric series
Let Γ be a simple graph and IΓ(x) its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only Γ for which the power series expansion of IΓ−1(x) is Horn hypergeometric.
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| Veröffentlicht in: | The Bulletin of the London Mathematical Society 2021-12, Vol.53 (6), p.1834-1848 |
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| container_issue | 6 |
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| container_title | The Bulletin of the London Mathematical Society |
| container_volume | 53 |
| creator | Radchenko, Danylo Rodriguez Villegas, Fernando |
| description | Let Γ be a simple graph and IΓ(x) its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only Γ for which the power series expansion of IΓ−1(x) is Horn hypergeometric. |
| doi_str_mv | 10.1112/blms.12545 |
| format | Article |
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| issn | 0024-6093 1469-2120 |
| language | eng |
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| source | Wiley Journals |
| subjects | 33C70 97K30 (primary) |
| title | Independence polynomials and hypergeometric series |
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