CONJECTURE

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Functionals on the Spaces of Convex Bodies被引量：2
《Acta Mathematica Sinica,English Series》2016年第1期124-136,共13页Chuanming ZONG 
Supported by 973 Programs(Grant Nos.2013CB834201 and 2011CB302401);the National Science Foundation of China(Grant No.11071003);the Chang Jiang Scholars Program of China
In geometry, there are several challenging problems studying numbers associated to convex bodies. For example, the packing density problem, the kissing number problem, the covering density problem, the packing-coverin...
关键词：Packing density covering density kissing number Hadwiger＇s conjecture 
The Dimension Vectors of Indecomposable Modules of Cluster-tilted Algebras and the Fomin-Zelevinsky Denominators Conjecture被引量：3
《Acta Mathematica Sinica,English Series》2012年第3期581-586,共6页Shengfei GENG Liangang PENG 
Supported partially by the National 973 Programs (Grant No. 2006CB805905)
The main result of this paper is that any two non-isomorphic indecomposable modules of a cluster-tilted algebra of finite representation type have different dimension vectors. As an application to cluster algebras of ...
关键词：Dimension vector cluster tilting object cluster-tilted algebra denominator 
A conjecture on k-factor-critical and 3-γ-critical graphs被引量：2
《Science China Mathematics》2010年第5期348-354,共7页WANG Tao1&YU QingLin2 1Institute of Applied Mathematics,College of Mathematics and Information Science,Henan University,Kaifeng 475001,China 2Department of Mathematics and Statistics,Thompson Rivers University,Kamloops,BC V2C5N3,Canada 
supported by Major State Basic Research Development Program of China (973 Project) (Grant No.2006CB805904);Natural Sciences and Engineering Research Council of Canada (Grant No.122059-200)
For a graph G =(V,E),a subset VS is a dominating set if every vertex in V is either in S or is adjacent to a vertex in S.The domination number γ(G) of G is the minimum order of a dominating set in G.A graph G is said...
关键词：DOMINATION CRITICAL GRAPH FACTOR CRITICAL bicritical 
The principle of the Internet evolving and a conjecture on the optimal structure of the Internet
《Chinese Physics B》2009年第5期1721-1724,共4页李旲 曹宏铎 山秀明 任勇 袁坚 
supported by the National Natural Science Foundation of China(Grant Nos 70801066,60674048,60772053 and 60672142);the National Basic Research Program of China(Grant Nos 2007CB307100 and 2007CB307105)
In this paper we will give the statistical characteristics and general principles of an optimal structure of the Internet, which is a scale-free network. Since the purpose of the Internet is to allow fast and easy com...
关键词：INTERNET the evolving principle the optimal structure power law 
Correlation of zeros of automorphic L-functions被引量：2
《Science China Mathematics》2008年第7期1147-1166,共20页LIU JianYa1 & YE YangBo1,2 1 School of Mathematics,Shandong University,Jinan 250100, China 2Department of Mathematics,The University of Iowa,Iowa City,IA 52242-1419,USA 
supported by the 973 Program;the National Natural Science Foundation of China (GrantNo. 10531060);Ministry of Education of China (Grant No. 305009);The second author was supportedby the National Security Agency of USA (Grant No. H98230-06-1-0075);The United States government isauthorized to reproduce and distribute reprints notwithstanding any copyright notation herein.
We compute the n-level correlation of normalized nontrivial zeros of a product of Lfunctions: L(s, π1) … L(s, π k ), where πj, j = 1, …, k, are automorphic cuspidal representations of GL mj (?A). Here the sizes o...
关键词：automorphic L-function zero correlation Selberg’s orthogonality conjecture 11F70 11M26 11M41 
Limits from Weak Gravity Conjecture on Chaplygin-Gas-Type Models
《Chinese Physics Letters》2008年第4期1517-1520,共4页武星 朱宗宏 
Supported by the National Natural Science Foundation of China under Grant No 10533010, the National Basic Research Programme of China under Grant No 2007CB815401, and the Programme for New Century Excellent Talents in University of China. We thank Yi-Fu Cai and Yin-Zhe Ma for helpful discussions. We are also grateful to Neven Bilid, Gary Tupper and Raoul Viollier for pointing out some misunderstandings.
The weak gravity conjecture is proposed as a criterion to distinguish the landscape from the swampland in string theory. As an application in cosmology of this conjecture, we use it to impose theoretical constraint on...
关键词：supernova explosion proto-neutron star shock wave 
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