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《JOURNAL OF SOUTH CHINA UNIVERSITY OF TECHNOLOGY(NATURAL SCIENCE)》 1996-06
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A NEW RESULT OF THE HEILBRONN PROBLEM

Tao Zhisui Cai Junjie (Dept. of Appl. Math., South China Univ. of Tech.)  
This paper studies the ratio λ n of the maximum distance to the minimum distance in the Heilbronn problem. Using the software we designed the Heilbronn problem computer aided proof system, we get a new result:when n=9, 2 4λ 9≤2 569237.
【CateGory Index】: O18
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【References】
Chinese Journal Full-text Database 4 Hits
1 ZHU Yu-yang,ZHANG Xia,CHU Zhao-hui(Deparptment of Mathematics & Physis,Hefei University,Hefei 230022,China);An Extreme-Value Problem of Plane Point Set[J];Journal of Hefei University(Natural Sciences);2006-02
2 TAO Zhi-sui HONG Yi (Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, P. R. China);On a Problem of Heilbronn's Type in R~3[J];Acta Mathematica Sinica;2000-05
3 Zhu Yuyang Dept.of Math.& Phy.,Hefei University,Hefei 230022,China;The Proof of the Conjecture on a Problem of Setting Sites[J];Communication on Applied Mathematics and Computation;2010-02
4 ZHU Yuyang1,2(1.Dept.of Mathematics and Physics,Hefei University,Hefei 230601,China;2.Dept.of Mathematics,University of Science and Technology of China,Hefei 230026,China);A problem of site setting[J];Journal of University of Science and Technology of China;2011-06
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Tao Zhisui Sun Jianling (Dept.of Applied mathematics,South China Univ.of Tech.);SOME RESULTS OF THE HEILBRONN PROBLEM AND ITS GENERALIZATION[J];Journal of South China University of Technology(Natural Science Edition);1993-03
【Co-citations】
Chinese Journal Full-text Database 4 Hits
1 Su Wenlong(Wuzhou No.1 Middle School,Wuzhou,Guangxi,543002);A Preliminary Study on the Problem Heilbronn[J];GUANGXI SCIENCES;1996-02
2 Tao Zhisui Sun Jianling (Dept.of Applied mathematics,South China Univ.of Tech.);SOME RESULTS OF THE HEILBRONN PROBLEM AND ITS GENERALIZATION[J];Journal of South China University of Technology(Natural Science Edition);1993-03
3 Tian Zhengping (Department of Mathematics);ON THE PROBLEM OF HEILBRON TYPE[J];Journal of Hangzhou Teachers College;1994-06
4 TAO Zhi-sui HONG Yi (Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, P. R. China);On a Problem of Heilbronn's Type in R~3[J];Acta Mathematica Sinica;2000-05
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 Tao Zhisui Sun Jianling (Dept.of Applied mathematics,South China Univ.of Tech.);SOME RESULTS OF THE HEILBRONN PROBLEM AND ITS GENERALIZATION[J];Journal of South China University of Technology(Natural Science Edition);1993-03
2 YANG Lu ZHANG JINGZHOUG (University of Science and Technology of China);A NOTE ON THE SIMPLEX WITH ODD INTEGRAL EDGE-LENGTHS[J];Chinese Annals of Mathematics,series A;1982-03
3 Hong Yi Wang Guoqiang Tao Zhisui (Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, China);On a Problem of Heilbronn Type in Higher Dimensional Space[J];Acta Mathematica Sinica;1997-01
4 TAO Zhi-sui HONG Yi (Department of Applied Mathematics, South China University of Technology, Guangzhou 510641, P. R. China);On a Problem of Heilbronn's Type in R~3[J];Acta Mathematica Sinica;2000-05
5 Yang Lu;Zhang Jingzhong ;Zeng Zhenbing(Institute of Mathematical Sciences,Academia Sinica, Chengdu 610041,china);On the First Several Heilbronn Numbers of a Triangle[J];ACTA MATHEMATICA SINICA;1994-05
【Secondary References】
Chinese Journal Full-text Database 5 Hits
1 ZHU Yu-yang(Department of Mathematics and Physics, Hefei University, Hefei Anhui 230022,China);Some Answers to a Question on Discrete Point-Set Extremum[J];Journal of Hefei University;2004-04
2 ZHU Yu-yang,ZHANG Xia,CHU Zhao-hui(Deparptment of Mathematics & Physis,Hefei University,Hefei 230022,China);An Extreme-Value Problem of Plane Point Set[J];Journal of Hefei University(Natural Sciences);2006-02
3 Yu Yang ZHU Department of Mathematics & Physics,Hefei University,Hefei 230601,P.R.China;Several Results on a Problem of Setting Sites[J];Acta Mathematica Sinica;2011-04
4 Zhu Yuyang Dept.of Math.& Phy.,Hefei University,Hefei 230022,China;The Proof of the Conjecture on a Problem of Setting Sites[J];Communication on Applied Mathematics and Computation;2010-02
5 ZHU Yuyang1,2(1.Dept.of Mathematics and Physics,Hefei University,Hefei 230601,China;2.Dept.of Mathematics,University of Science and Technology of China,Hefei 230026,China);A problem of site setting[J];Journal of University of Science and Technology of China;2011-06
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