Results 1 to 10 of about 39 (32)
Continuants with Equal Values, a Combinatorial Approach [PDF]
Words, 2021 A regular continuant is the denominator K of a terminating regular continued fraction, interpreted as a function of the partial quotients. We regard K as a function defined on the set of all finite words on the alphabet 1 < 2 < 3 < . . .
G. Ramharter, L. Zamboni
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Refined ratio monotonicity of the coordinator polynomials of the root lattice of type Bn
Open Mathematics, 2023 Ratio monotonicity, a property stronger than both log-concavity and the spiral property, describes the behavior of the coefficients of many classical polynomials.
Su Xun-Tuan, Sun Fan-Bo
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A combinatorial proof of the Gaussian product inequality beyond the MTP2 case
Dependence Modeling, 2022 A combinatorial proof of the Gaussian product inequality (GPI) is given under the assumption that each component of a centered Gaussian random vector X=(X1,…,Xd){\boldsymbol{X}}=\left({X}_{1},\ldots ,{X}_{d}) of arbitrary length can be written as a ...
Genest Christian, Ouimet Frédéric
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Extermal properties of Zagreb coindices and degree distance of graphs
, 2010 The degree distance, Zagreb coindices and reverse degree distance of a connected graph have been studied in mathematical chemistry. In this paper some new extremal values of these topological invariants over some special classes of graphs are determined.
S. Hossein-Zadeh, A. Hamzeh, A. Ashrafi
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The log-concavity of the q-derangement numbers of type B
Open Mathematics, 2018 Recently, Chen and Xia proved that for n ≥ 6, the q-derangement numbers Dn(q) are log-concave except for the last term when n is even. In this paper, employing a recurrence relation for DnB(q) $\begin{array}{} \displaystyle D^B_n(q) \end{array ...
Liu Eric H., Du Wenjing
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Proof of a monotonicity conjecture
, 2018 Bennett gave a generalization of Schur’s theorem to study various moment-preserving transformations. In this paper, we confirm a monotonicity conjecture of Bennett which is related to the generalized Schur’s theorem and Haber’s inequality.
Xun-Tuan Su
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The hyperbolicity constant of infinite circulant graphs
Open Mathematics, 2017 If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
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GA2 index of some graph operations
, 2010 Let G = (V, E) be a graph. For e = uv ∈ E(G), nu (e) is the number of vertices of G lying closer to u than to v and nv (e) is the number of vertices of G lying closer to v than u.
G. Fath-Tabar +2 more
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The convexity and the concavity derived from Newton's inequality
, 2012 By Newton’s inequality, a sequence {ai}i=0 of nonnegative real numbers is unimodal if its generating function ∑i=0 aix has only real zeros. This paper is devoted to show that there exist two indices s and t with s t , such that a0,a1, . . .
Xun-Tuan Su, Wei-Wei Zhang
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ORDER MATTERS WHEN CHOOSING SETS
, 2011 Given natural numbers t, w and v we show, using high school algebra, that if 1 ≤ w ≤ t < v then ((v ch t) ch w) ≤ ((v ch w) ch t). Here we denote “n choose r” by (n ch r). AMS (2002) subject classification: Primary 05A20; Secondary 05A05, 94A60.
W. Moors, Julia Novak
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