COMBINATORICS

作品数:31被引量:30H指数:4
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相关机构:南开大学更多>>
相关期刊:《International Journal of Biomathematics》《Journal of Quantum Information Science》《Journal of Applied Mathematics and Physics》《Communications in Mathematics and Statistics》更多>>
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Invariant measure for cubic Fibonacci-like polynomials
《中国科学技术大学学报》2024年第8期7-12,6,I0002,共8页Wenxiu Ma 
A special class of cubic polynomials possessing decay of geometry property is studied.This class of cubic bimodal maps has generalized Fibonacci combinatorics.For maps with bounded combinatorics,we show that they have...
关键词:Fibonacci combinatorics cubic polynomial decay of geometry invariant measure 
Forming a Critical Tree with Cutwidth k
《Chinese Quarterly Journal of Mathematics》2022年第4期366-379,共14页ZHANG Zhen-kun YE Xi-qiong 
Supported by Soft Science Foundation of Henan Province(Grant No.192400410212);the Science and Technology Key Project of Henan Province of China(Grant No.22210211008)。
The cutwidth of a graph G is the minimum number of overlap edges when G is embedded into a path Pn.The cutwidth problem for a graph G is to determine the cutwidth of G.A graph G with cutwidth k is k-cutwidth critical ...
关键词:COMBINATORICS Graph labeling Cutwidth Critical tree 
On the Combinatorics of Fibonacci-Like Non-renormalizable Maps被引量:1
《Communications in Mathematics and Statistics》2020年第4期473-496,共24页Haoyang Ji Simin Li 
Simin Li is supported by NSFC grant 11731003.
In this paper,we extend Fibonacci unimodal map to a wider class.We describe the combinatorial property of thesemaps by first return map and principal nest.We give the sufficient and necessary condition for the existen...
关键词:FIBONACCI Principal nest Invariantmeasure Generalized renormalization 
The Attractor of Fibonacci-like Renormalization Operator
《Acta Mathematica Sinica,English Series》2020年第11期1256-1278,共23页Hao Yang JI Si Min LI 
NSFC(Grant No.11731003)。
In this paper we extend the Fibonacci-like maps to a wider class with the so-called“bounded combinatorics”.The Fibonacci-like renormalization operator R is defined and we showthat the orbit of each map from this cla...
关键词:Fibonacci combinatorics principal nest RENORMALIZATION 
Hamburger Moment Sequences in Combinatorics
《Acta Mathematica Sinica,English Series》2018年第7期1101-1109,共9页Huyile LIANG Yi WANG Sainan ZHENG 
Supported by the National Natural Science Foundation of China(Grant No.11371078)
We show that many well-known counting coefficients in combinatorics are Hamburger moment sequences in certain unified approaches and that Hamburger moment sequences are infinitely convex. We introduce the concept of t...
关键词:Hamburger moment sequence Stieltjes moment sequence generalized Motzkin number Hankel matrix total positivity infinite convexity 
Decay of Correlations for Fibonacci Unimodal Interval Maps被引量:2
《Acta Mathematica Sinica,English Series》2018年第1期114-138,共25页Rui GAO Wei Xiao SHEN 
supported by AcRF-Tier 1 grant from MOE,Singapore(Grant No.R-146-000-199-112)
We consider a class of generalized Fibonacci unimodal maps for which the central return times {Sn} satisfy that sn= sn-1 + ksh-2 for some k≥ 1. We show that such a unimodal map admits a unique absolutely continuous...
关键词:Absolutely continuous invariant probability decay of correlations unimodal maps Fi-bonacci combinatorics 
The 1-Good-neighbor Connectivity and Diagnosability of Locally Twisted Cubes被引量:5
《Chinese Quarterly Journal of Mathematics》2017年第4期371-381,共11页REN Yun-xia WANG Shi-ying 
supported by the National Natural Science Foundation of China(61772010)
Diagnosability of a multiprocessor system is one important study topic. In 2012, Peng et al. proposed the g-good-neighbor diagnosability that restrains every fault-free node to contain at least g fault-free neighbors....
关键词:COMBINATORICS DIAGNOSABILITY LOCALLY TWISTED CUBE 
The Tightly Super 3-Extra Connectivity and Diagnosability of Locally Twisted Cubes被引量:2
《American Journal of Computational Mathematics》2017年第2期127-144,共18页Mujiangshan Wang Yunxia Ren Yuqing Lin Shiying Wang 
Diagnosability of a multiprocessor system G is one important measure of the reliability of interconnection networks. In 2016, Zhang et al. proposed the g-extra diagnosability of G, which restrains that every component...
关键词:INTERCONNECTION NETWORK COMBINATORICS DIAGNOSABILITY 
Quantitative Stability of the Brunn-Minkowski Inequality for Sets of Equal Volume(Dedicated to Professor Haim Brezis on the occasion of his 70th birthday)被引量:1
《Chinese Annals of Mathematics,Series B》2017年第2期393-412,共20页Alessio FIGALLI David JERISON 
supported by NSF Grant DMS-1262411,NSF Grant DMS-1361122,NSF Grant DMS-1069225 and DMS-1500771
The authors prove a quantitative stability result for the Brunn-Minkowski inequality on sets of equal volume: If |A| = |B| > 0 and |A + B|^(1/n) =(2 + δ)|A|^(1/n) for some small δ, then, up to a translation, both A...
关键词:QUANTITATIVE stability  Brunn-Minkowski  AFFINE geometry  Convexgeometry  Additive COMBINATORICS 
The combinatorics of Green's functions in planar field theories
《Frontiers of physics》2016年第6期1-23,共23页Kurusch Ebrahimi-Fard Frederic Patras 
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