Complete monotonicity for inverse powers of some combinatorially defined polynomials

We prove the complete monotonicity on (0,∞)n(0,∞)n for suitable inverse powers of the spanning-tree polynomials of graphs and, more generally, of the basis generating polynomials of certain classes of matroids. This generalizes a result of Szegő and answers, among other things, a long-standing quest...

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Những tác giả chính: Scott, A, Sokal, A
Định dạng: Journal article
Được phát hành: Royal Swedish Academy of Sciences, Institut Mittag-Leffler 2014