A Talk of Prof. Yeong-Nan Yeh from Academia Sinica, Taiwan

时间:2019-03-04浏览:247设置

SpeakerProf. Yeong-Nan Yeh (Academia Sinica, Taiwan)


Time10 : 30 – 11 : 30 a.m., 5th(Tue.) March, 2019


PlaceRoom 427, Building 21


TitleAsymptotic normality criteria of coefficients of a polynomial and their applications in combinatorics


Abstract: The asymptotic distribution theory for coefficients of a polynomial is an active topic in asymptotic analysis. In 1967, Harper proposed a criterion to measure the asymptotic normality of a series of numbers, when he researched the asymptotic behavior of Stirling numbers of the second kind. In this paper, we aim to develop some further asymptotic normality criteria of coefficients of a polynomial with all real roots or purely imaginary roots (including 0). These new asymptotic normality criteria turn out to be very efficient and have abundant applications in combinatorics, mainly including the coefficients of a series of characteristic polynomials of adjacency matrix, Laplacian matrix, signless Laplacian matrix, skew-adjacency matrix, chromatic polynomial, and some graph numbers, such as matching numbers, independence numbers, clique numbers. Among which, we generalize and verify some conjectures about asymptotic normality in combinatorics, e.g., the matching numbers proposed by Godsil and Kahn , the (signless) Laplacian coefficients claimed by Wang et al.








浙江师范大学离散数学研究中心版权所有 © 2018-2028
地址:浙江省金华市迎宾大道688号21幢 邮政编码:321004
联系电话:0579-82282629   电子邮箱:jcsx@zjnu.cn    管理登陆