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TRIANGLES: 作品数：58被引量：69H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：谭昌汇燕飞潘懋郭艳军王喆更多>>; 相关机构：北京大学四川国际标榜职业学院香港大学镇江师范专科学校更多>>; 相关期刊：《Surgical Science》《Journal of Computational Mathematics》《程序员（游戏创造）》《Medical Bulletin of Shanghai Jiaotong University》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划更多>>

The acyclic chromatic index of planar graphs without 4-,6-cycles and intersecting triangles: 《Frontiers of Mathematics in China》2024年第3期117-136,共20页Yuehua BU Qi JIA Hongguo ZHU; A proper edge k-coloring is a mappingΦ:E(G)-→{1,2,...,k}such that any two adjacent edges receive different colors.A proper edge k-coloringΦof G is called acyclic if there are no bichromatic cycles in G.The acyclic ...; 关键词：Acyclic edge coloring plane graph CYCLE

Sobolev Mapping of the Bergman Projections on Generalized Hartogs Triangles: 《Acta Mathematica Sinica,English Series》2024年第2期451-466,共16页Hong Yan LIU Zhen Han TU; Supported by the National Natural Science Foundation of China(Grant No.12071354)。; In this paper,we investigate Sobolev mapping properties of the Bergman projection.Th domain we focus on is defined byΩm/n:={(z,w)∈C^(1+N):|w1|<|z|m1/n1<1,…|wN|<|z|/m_(N)/n_(N)<1},where m=(m1,…mN)∈(Z^(+))^(N),n=(...; 关键词：Bergman projections generalized Hartogs triangles Sobolev spaces

The Number of Triangles in Random Intersection Graphs: 《Communications in Mathematics and Statistics》2023年第4期695-725,共31页Liang Dong Zhishui Hu; supported by NSFC (Grant No.11671373).; Let Tn be the number of triangles in the random intersection graph G(n,m,p).When the mean of Tn is bounded,we obtain an upper bound on the total variation distance between Tn and a Poisson distribution.When the mean o...; 关键词：Random intersection graph Stein’s method Poisson approximation Normal approximation

Heilbronn's Problem of Eight Points in the Square: 《Journal of Systems Science & Complexity》2022年第6期2452-2480,共29页DEHBI Lydia ZENG Zhenbing; the National Natural Science Foundation of China under Grant Nos.12171159 and 12071282;“Digital Silk Road”Shanghai International Joint Lab of Trustworthy Intelligent Software under Grant No.22510750100。; In this work the authors consider the problem of optimally distributing 8 points inside a unit square so that the smallest area of the(38)triangles formed by them is maximal.Symbolic computations are employed to reduc...; 关键词：Global search Heilbronn’s problem optimal configuration smallest triangle’s area symbolic computations

Distance-Regular Graphs of Diameter 3Without Triangles with c_(2)=2: 《Communications in Mathematics and Statistics》2022年第4期785-792,共8页A.A.Makhnev Wenbin Guo K.S.Efimov; supported by the RFBR and the NFSC(Project No.20-51-53013);supported by the NNSF of China(No.12171126).; Earlier it was proved that some distance-regular graphs of diameter 3 with c_(2)=2 do not exist.Distance-regular graphΓwith intersection array{17,16,10;1,2,8}has strongly regular graphΓ_(3)(pseudo-geometric graph fo...; 关键词：Distance-regular graph Graph without triangles Triple intersection numbers

Proper Holomorphic Mappings Between n-generalized Hartogs Triangles: 《Acta Mathematica Sinica,English Series》2022年第6期1002-1014,共13页Feng RONG Shuo ZHANG; supported by the National Natural Science Foundation of China(Grant No.11871333)。; In this paper,we first introduce the notion of n-generalized Hartogs triangles.Then,we characterize proper holomorphic mappings between some of these domains,and describe their automorphism groups.; 关键词：Proper holomorphic mapping generalized Hartogs triangle automorphism group

On Quasiconformal Mappings Between Hyperbolic Triangles: 《Chinese Quarterly Journal of Mathematics》2021年第4期405-414,共10页ZHAO Lei; Partially Supported by NSFC(Grant No.12071047);Fundamental Research Funds for the Central Universities(Grant No.500421126).; Quasiconformal mappings between hyperbolic triangles are considered.We give an explicit estimate of the dilation of the quasiconformal mappings,which generalizes Bishop's results.; 关键词：Hyperbolic triangle Quasiconformal mapping Affine transformation

ON THE AREAS OF THE MINIMAL TRIANGLES IN VEECH SURFACES: 《Acta Mathematica Scientia》2020年第2期503-514,共12页Yumin ZHONG; Supported by National Natural Science Foundation of China(11701039);Youth and Research and Innovation Program of BUPT(2017RC18)。; Smillie and Weiss proved that the set of the areas of the minimal triangles of Veech surfaces with area 1 can be arranged as a strictly decreasing sequence{an}.And each an in the sequence corresponds to finitely many ...; 关键词：Veech surfaces minimal triangles non arithmetic

Teichmüller curves in the space of two-genus double covers of flat tori: 《Science China Mathematics》2020年第3期521-538,共18页Yan Huang Shengjian Wu Yumin Zhong; supported by National Natural Science Foundation of China (Grant No. 11401167).supported by National Natural Science Foundation of China (Grant No. 11371035).supported by National Natural Science Foundation of China (Grant Nos. 11701039 and 11371035);Research and Innovation Program of Beijing University of Posts and Telecommunications for Youth (Grant No. 2017RC18); This paper focuses on Teichmüller curves in the space of two-genus double covers of flat tori,identifying all of them, counting them with respect to their triangular areas, formulating the numbers of their cusps, and...; 关键词：Veech surfaces Teichm¨uller curves geodesic triangles simple Jenkins-Strebel directions

SAS and SSA Conditions for Congruent Triangles: 《Journal of Mathematics and System Science》2018年第2期59-66,共8页Alexander F.Mironychev; For two triangles to be congruent,SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle.If the congruent a...; 关键词：CONGRUENT TRIANGLES a theorem a proof SUPERPOSITION SAS and SSA CONDITIONS

TRIANGLES