云南高校图书馆联盟文献共享服务平台- POLYTOPE

POLYTOPE: 作品数：26被引量：20H指数：2; 导出分析报告; 相关领域：自动化与计算机技术理学更多>>; 相关作者：王涵朱春钢更多>>; 相关机构：大连理工大学更多>>; 相关期刊：《Journal of Computational Mathematics》《Open Journal of Discrete Mathematics》《Journal of Computer Science & Technology》《Applied Mathematics》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中国博士后科学基金宁波大学王宽诚幸福基金更多>>

Haken 3-Manifolds in Small Covers: 《Chinese Annals of Mathematics,Series B》2023年第4期549-560,共12页Lisu WU Li YU; supported by the National Natural Science Foundation of China(No.11871266);the Priority Academic Program Development of Jiangsu Higher Education Institutions。; The authors prove that a 3-dimensional small cover M is a Haken manifold if and only if M is aspherical or equivalently the underlying simple polytope is a flag polytope.In addition,they find that M being Haken is als...; 关键词：Small cover Haken manifold Incompressible surface Flag polytope

Fundamental Groups of Real Toric Spaces over Simple Polytopes: 《Acta Mathematica Sinica,English Series》2022年第10期1887-1900,共14页Zhi LU Song ZHANG; Partially supported by the NSFC(Grant No.11971112);the China Scholarship Council(Grant No.202106100095)。; In this paper we study the cubical stuctures and fundamental groups of real toric spaces.We give an explicit presentation of the fundamental group of the real toric space over a simple polytope.Then using this present...; 关键词：Real toric space fundamental group simple polytope real Buchstaber invariant

W-translated Schubert divisors and transversal intersections: 《Science China Mathematics》2022年第10期1997-2018,共22页DongSeon Hwang Hwayoung Lee Jae-Hyouk Lee Changzheng Li; supported by the Samsung Science and Technology Foundation(Grant No. SSTF-BA1602-03);supported by the National Research Foundation of Korea (Grant No. NRF-2019R1F1A1058962);supported by National Natural Science Foundation of China (Grant Nos. 11771455, 11822113 and 11831017);Guangdong Introducing Innovative and Enterpreneurial Teams (Grant No. 2017ZT07X355)。; We study the toric degeneration of Weyl group translated Schubert divisors of a partial flag variety F?_(n1,...,nk;n) via Gelfand-Cetlin polytopes. We propose a conjecture that Schubert varieties of appropriate dimens...; 关键词：W-translated Schubert varieties transversal intersection Gelfand-Cetlin polytope toric degeneration flag varieties

Air combat decision-making of multiple UCAVs based on constraint strategy games被引量：14: 《Defence Technology（防务技术）》2022年第3期368-383,共16页Shou-yi Li Mou Chen Yu-hui Wang Qing-xian Wu; supported by Major Projects for Science and Technology Innovation 2030(Grant No.2018AA0100800);Equipment Pre-research Foundation of Laboratory(Grant No.61425040104);in part by Jiangsu Province“333”project under Grant BRA2019051.; Game theory can be applied to the air combat decision-making problem of multiple unmanned combat air vehicles(UCAVs).However,it is difficult to have satisfactory decision-making results completely relying on air comba...; 关键词：Game theory Time-sensitive information Constraint strategy games Polytope strategy games Multiple UCAVs Air combat decision-making

The Logarithmic Capacitary Minkowski Problem for Polytopes: 《Acta Mathematica Sinica,English Series》2022年第2期406-418,共13页Ge XIONG Jia Wei XIONG; Supported by NSFC(Grant No.11871373)。; The logarithmic capacitary Minkowski problem asks for necessary and sufficient conditions on a finite Borel measure on the unit sphere so that it is the logarithmic capacitary measure of a convex body.This article com...; 关键词：Minkowski problem capacity POLYTOPE general position

Nonsmooth critical point theory and applications to the spectral graph theory被引量：1: 《Science China Mathematics》2021年第1期1-32,共32页Kung-Ching Chang Sihong Shao Dong Zhang Weixi Zhang; supported by National Natural Science Foundation of China(Grant Nos.11822102 and 11421101);supported by Beijing Academy of Artificial Intelligence(BAAI);supported by the project funded by China Postdoctoral Science Foundation(Grant No.BX201700009)。; Existing critical point theories including metric and topological critical point theories are difficult to be applied directly to some concrete problems in particular polyhedral settings,because the notions of critica...; 关键词：critical point theory nonsmooth analysis combinatorial optimization POLYTOPE spectral graph theory

On the complexity of sequentially lifting cover inequalities for the knapsack polytope被引量：1: 《Science China Mathematics》2021年第1期211-220,共10页Wei-Kun Chen Yu-Hong Dai; supported by National Natural Science Foundation of China(Grant Nos.11631013 and 11331012);the National Basic Research Program of China(Grant No.2015CB856002);the Major Project to Promote Development of Big Data from National Development and Reform Commission(Grant No.2016-999999-65-01-000696-01)。; The well-known sequentially lifted cover inequality is widely employed in solving mixed integer programs.However,it is still an open question whether a sequentially lifted cover inequality can be computed in polynomia...; 关键词：integer programming sequentially lifted cover inequality COMPLEXITY lifting problem

The topology of moment-angle manifolds——on a conjecture of S. Gitler and S. López de Medrano被引量：1: 《Science China Mathematics》2020年第10期2079-2088,共10页Liman Chen Feifei Fan Xiangjun Wang; supported by National Natural Science Foundation of China(Grant Nos.11571186,11701411,11801580 and 11871284)。; In this paper,we study the topology of moment-angle manifolds and prove a conjecture of S.Gitler and S.Lopez de Medrano concerned with the behavior of the moment-angle manifold under the surgery’cutting off a vertex...; 关键词：moment-angle manifolds simple polytope ISOTOPY regular embedding

The Second Stiefel-Whitney Class of Small Covers: 《Chinese Annals of Mathematics,Series B》2020年第2期163-176,共14页Zhangmin HUANG; Let π : Mn→Pn be an n-dimensional small cover over Pn and λ : F(Pn)→Z2n be its characteristic function. The author uses the symbol c(λ) to denote the cardinal number of the image Im(λ). If c(λ) = n + 1 or n + 2...; 关键词：SMALL COVER SPIN structure Simple POLYTOPE

A ROBUST INTERIOR POINT METHOD FOR COMPUTING THE ANALYTIC CENTER OF AN ILL-CONDITIONED POLYTOPE WITH ERRORS: 《Journal of Computational Mathematics》2019年第6期843-865,共23页Zhouhong Wang Yuhong Dai Fengmin Xu; The authors would like to thank two anonymous referees for their valuable comments and suggestions.The author Yu-hong Dai is supported by the Chinese Natural Science Foundation(Nos.11631013,71331001 and 11331012);the National 973 Program of China(No.2015CB856002);The author Fengmin Xu is supported by the Chinese NSF grants(Nos.11571271,11631013 and 11605139).; In this paper we propose an efficient and robust method for computing the analytic center of the polyhedral set P={x€R^n|Ax=b,x>0},where the matrix A€ Rm×n is ill-conditioned,and there are errors in A and b.Besides o...; 关键词：ANALYTIC center ILL-CONDITIONING Unboundedness PRIMAL-DUAL INTERIOR point algorithm Convergence Polynomial complexity

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