Independence polynomials and hypergeometric series
Copyright policy )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 I-1Γ (x) is Horn hypergeometric.
Bulletin of the London Mathematical Society, 53 (6)
ISSN:0024-6093
ISSN:1469-2120
33C70, chordal graphs, 97K30 (primary), Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, 33C70; 97K30 (primary), Appell, Horn and Lauricella functions, Graph polynomials, 33C70, 97K30, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, multivariate independence polynomial, Combinatorics (math.CO), Factorials, binomial coefficients, combinatorial functions, Algebraic Geometry (math.AG), Combinatorial identities, bijective combinatorics
33C70, chordal graphs, 97K30 (primary), Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, 33C70; 97K30 (primary), Appell, Horn and Lauricella functions, Graph polynomials, 33C70, 97K30, FOS: Mathematics, Fibonacci and Lucas numbers and polynomials and generalizations, Mathematics - Combinatorics, multivariate independence polynomial, Combinatorics (math.CO), Factorials, binomial coefficients, combinatorial functions, Algebraic Geometry (math.AG), Combinatorial identities, bijective combinatorics
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