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Some Properties of a Class of Addition Cayley Signed Graph

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Wuhan University Journal of Natural Sciences 2022年第4期27卷 296-302页

作者： YUAN Yuqing wang weizhong Department of Mathematics Lanzhou Jiaotong UniversityLanzhou 730070GansuChina

Let G=Cay^(+)(Z_(p1)×Z_(p1)^(α1)_(p2)^(α2)…_(pk)^(αk),Φ)be a simple graph having vertex set V(G)=Z_(p1)×Z_(p1)^(α1)_(p2)^(α2)…_(pk)^(αk)and edge set E(G)={{x,y}:x+y∈Φ},where all p_(1),p_(2),…,p_(k)are distinct prime factors andΦis the set of all units of the ring Z_(p1)^(α1)_(p2)^(α2)…_(pk)^(αk).LetΣ=(G,σ)be a signed graph whose underlying graph is G and signature function isσ:E(G)→{+1,-1}defined asσ({x,y})={+1,ifx∈φ(p_(1))or y∈φ(p_(1)^(α1)p_(2)^(α2)…p_(k)^(αk));-1,*** this paper,we characterize the balance ofΣand some graphs derived from it such asη(Σ),L(Σ)and C_(E)(Σ).Moreover,we investigate the clusterability and sign-compativility ofΣ.

关键词： signed graphs derived graph balance clusterability sign-compatibility

Gauge Theory of the Generalized Symmetry on the Torus Membrane

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Communications in Theoretical Physics 2001年第10期36卷 427-430页

作者： ZHAO weizhong wang Hong ZHANG Jun Department of Physics Xinjiang University Urumqi 830046 China Academy of Mathematics and Systems Sciences Academia Sinica Beijing 100080 China Science and Engineering College of Hainan University Haikou 570228 China Department of Physics Xinjiang University Urumqi 830046 China

The SDIFF(T2)local-generalized Kac-Moody G(T2) symmetry is an infinite-dimensional group on the torus membrane, whose Lie algebra is the semi-direct sum of the SDIFF(T2)local algebra and the generalized KacMoody algebra g(T2). In this paper, we construct the linearly realized gauge theory of the SDIFF(T2)loc1al-generalized Kac-Moody G(T2) symmetry.

关键词： gauge theory, torus membrane, symmetry

Innovation Enables Sustainable Development in China

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Chinese Journal of Population,Resources and Environment 2012年第3期10卷 5-6页

作者： wang weizhong Vice Minister Ministry of Science and Technology People's Republic of China

Twenty years ago,the United Nations Conference on Environment and Development was held here in Rio de Janeiro,which put forward the concept of 'sustainable development',and blueprinted a world in sustainable *** 1992 ... 详细信息

关键词：可持续发展中国创新里约热内卢会议记录联合国环境

China's Green Transformation:Efforts,Practices and Future

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Chinese Journal of Population,Resources and Environment 2012年第3期10卷 3-4页

作者： wang weizhong Vice Minister Ministry of Science and Technology People's Republic of China

I'm very pleased to be here at this side meeting,China's Green Transformation:Efforts,Practices and Future, co-sponsored by ACCA21 and *** the UN Conference on Environment and Development in 1992, people around the wo... 详细信息

关键词：中国可持续发展绿色经济联合国环境

PARENT PHASE(B2)-INCOMMENSURATE PHASE(IC) TRANSITION IN NiTi(Fe) ALLOY

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Chinese Physics Letters 1989年第8期6卷 363-365页

作者： wang weizhong QIAN Hua wang Zixiao Department of Physics Wuhan UniversityWuhan

Parent phase(B2)-incommensurate phase(IC)transition in NiTi(Fe)alloy is dealed with Ldndau *** order parameters are the complex amplitudes of the charge density waves(CDWs).This transition is a weakly first order *** ... 详细信息

关键词： alloy theory. NiTi

Spectrum of Two Operations of Graphs

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Wuhan University Journal of Natural Sciences 2021年第3期26卷 235-242页

作者： GE Chunyu wang weizhong WEI Bin Department of Mathematics Lanzhou Jiaotong UniversityLanzhou 730070GansuChina

Recently Tang et al put forward two new operations G_(1)■_(k)G_(2)and G_(1)◆_(k)G_(2)of graphs G_(1)and G_(2),and obtained the distance spectrum of G_(1)■_(k)G_(2)and G_(1)◆_(k)G_(2)of regular graphs G_(1)and G_(2).In this paper,we characterize the adjacency spectrum,the Laplacian spectrum and the signless Laplacian spectrum of G_(1)■_(k)G_(2)and G_(1)◆_(k)G_(2)in terms of adjacency spectrum of regular graphs G_(1)and G_(2).

关键词： spectrum Indu-Bala product regular graph

NOVEL APPROACH FOR ROBOT PATH PLANNING BASED ON NUMERICAL ARTIFICIAL POTENTIAL FIELD AND GENETIC ALGORITHM

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Chinese Journal of Mechanical Engineering 2006年第3期19卷 340-343页

作者： wang weizhong ZHAO Jie GAO Yongsheng CAI Hegao Robotics Institute Harbin Institute of Technology Harbin 150001 China

A novel approach for collision-free path planning of a multiple degree-of-freedom （DOF） articulated robot in a complex environment is proposed. Firstly, based on visual neighbor point （VNP）, a numerical artificial potential field is constructed in Cartesian space, which provides the heuristic information, effective distance to the goal and the motion direction for the motion of the robot joints. Secondly, a genetic algorithm, combined with the heuristic rules, is used in joint space to determine a series of contiguous configurations piecewise from initial configuration until the goal configuration is attained. A simulation shows that the method can not only handle issues on path planning of the articulated robots in environment with complex obstacles, but also improve the efficiency and quality of path planning.

关键词： Robot Path planning Artificial potential field Genetic algorithm

Spatio-temporal dynamics of vegetation in Jungar Banner of China during 2000–2017

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Journal of Arid Land 2019年第6期11卷 837-854页

作者： LI Xinhui LEI Shaogang CHENG Wei LIU Feng wang weizhong Engineering Research Center of Ministry of Education for Mine Ecological Restoration China University of Mining and TechnologyXuzhou 221116China School of Environment Science and Spatial Informatics China University of Mining and TechnologyXuzhou 221116China Environmental Restoration and Management Center of Jungar Banner Mining Area Erdos 017100China

It is known that the exploitation of opencast coal mines has seriously damaged the environments in the semi-arid *** status can reliably reflect the ecological degeneration and restoration in the opencast mining areas in the semi-arid ***-time series MODIS NDVI data are widely used to simulate the vegetation cover to reflect the disturbance and restoration of local *** this study, both qualitative(linear regression method and coefficient of variation(CoV)) and quantitative(spatial buffer analysis, and change amplitude and the rate of change in the average NDVI) analyses were conducted to analyze the spatio-temporal dynamics of vegetation during 2000–2017 in Jungar Banner of Inner Mongolia Autonomous Region, China, at the large(Jungar Banner and three mine groups) and small(three types of functional areas: opencast coal mining excavation areas, reclamation areas and natural areas) *** results show that the rates of change in the average NDVI in the reclamation areas(20%–60%) and opencast coal mining excavation areas(10%–20%) were considerably higher than that in the natural areas(<7%).The vegetation in the reclamation areas experienced a trend of increase(3–5 a after reclamation)-decrease(the sixth year of reclamation)-*** vegetation in Jungar Banner has a spatial heterogeneity under the influences of mining and reclamation *** ratio of vegetation improvement area to vegetation degradation area in the west, southwest and east mine groups during 2000–2017 was 8:1, 20:1 and 33:1, *** regions with the high CoV of NDVI above 0.45 were mainly distributed around the opencast coal mining excavation areas, and the regions with the CoV of NDVI above 0.25 were mostly located in areas with low(28.8%) and medium-low(10.2%) vegetation *** average disturbance distances of mining activities on vegetation in the three mine groups(west, southwest and east) were 800, 800 and 1000 m, *** greater t

关键词： NDVI spatio-temporal dynamics linear regression method mining activities opencast coal mining areas reclamation areas Jungar Banner

On the Normalized Laplacian Spectra of some Double Join Operations of Graphs

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Journal of Mathematical Research with Applications 2023年第2期43卷 127-138页

作者： weizhong wang Bin WEI Department of Mathematics Lanzhou Jiaotong University

This paper is concerned with the normalized Laplacian spectra of four variants of double join operations based on subdivision graph, Q-graph, R-graph and total graph. The results here generalize some well known result... 详细信息

关键词： normalized Laplacian matrix normalized Laplacian spectrum double join operations regular graph