UNIMODALITY

作品数：4被引量：2H指数：1
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相关期刊：《Acta Mathematicae Applicatae Sinica》《Communications in Mathematics and Statistics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》更多>>
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On Real-rootedness of Independence Polynomials of Rooted Products of Graphs被引量：1
《Acta Mathematicae Applicatae Sinica》2023年第4期854-867,共14页Aria Ming-yue ZHU Bao-xuan ZHU 
supported by the National Natural Science Foundation of China (Nos.11971206, 12022105);the Natural Science Foundation of Distinguished Young Scholars of Jiangsu Province (No.BK20200048);Postgraduate Research Practice&Innovation Program of Jiangsu Province (No.KYCX21-2565)。
An independent set in a graph G is a set of pairwise non-adjacent vertices. The independence polynomial of G is the polynomial AΣx^(|A|), where the sum is over all independent sets A of G. In 1987, Alavi,Malde, Schwe...
关键词：independence polynomials UNIMODALITY real zeros rooted products claw-free graphs 
The Unimodality of Initial B-Spline Approximations in Spline Fitting
《Communications in Mathematics and Statistics》2022年第2期331-352,共22页Zhiguo Yong Hongmei Kang Zhouwang Yang Yi Gu 
supported by the National Natural Science Foundation of China(No.11801393);the Natural Science Foundation of Jiangsu Province(No.BK20180831).
Finding optimal knots is a challenging problem in spline fitting due to a lack of prior knowledge regarding optimal knots.The unimodality of initial B-spline approximations associated with given data is a promising ch...
关键词：Unimodality property JUMPS Spline fitting B-spline approximations Optimal knots 
Unimodality of Independence Polynomials of the Cycle Cover Product of Graphs被引量：1
《Acta Mathematica Sinica,English Series》2022年第5期858-868,共11页Bao Xuan ZHU 
Supported by National Natural Science Foundation of China(Grant Nos.11971206,12022105);Natural Science Foundation for Distinguished Young Scholars of Jiangsu Province(Grant No.BK20200048)。
An independent set in a graph G is a set of pairwise non-adjacent vertices.Let ik(G)denote the number of independent sets of cardinality k in G.Then its generating function I(G;x)=∑^(α(G))^(k=0)ik(G)x^(k),is called ...
关键词：Independence polynomials UNIMODALITY LOG-CONCAVITY real zeros SYMMETRY cycle cover product of graphs 
Some Remarks on Distributional Chaos for Linear Operators被引量：1
《Communications in Mathematical Research》2011年第4期307-314,共8页TIAN GENG Hou BING-ZHE 
The Youth Foundation of Department of Mathematics,Jilin University
In this paper, we consider some properties for bounded linear operators concerning distributional chaos. Norm-unimodality of bounded linear operators im- plies distributional chaos. Some properties such as similarity ...
关键词：distributional chaos norm-unimodality SIMILARITY SPECTRUM nest algebra 
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