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Homology Cycles and Dependent Cycles of Hypergraphs

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Acta Mathematicae Applicatae Sinica 2018年第2期34卷 237-248页

作者： jian-fang wang Xin XU Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China School of Sciences North China University of Technology Beijing 100144 China

In this paper, some new concepts for hypergraphs are introduced. Based on the previous results, we do further research on cycle structures of hypergraphs and construct a more strictly complete cycle structure system o... 详细信息

关键词： hypergraph semilattice cycle maximal cycle homology cycle

On Axioms Contituting the Foundation of Hypergraph Theory

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Acta Mathematicae Applicatae Sinica 2005年第3期21卷 495-498页

作者： jian-fang wang Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

Hypergraphs are systems of finite sets, being the most general structures in discrete mathematics and powerful tools in dealing with discrete systems. In general, a branch of mathematics is built on some axioms. Informational scientists introduced the acyclic axiom for hypergraphs. In this paper, we first list several results concerning acyclic hypergraphs, in order to show that Acyclic-Axioms constitute the foundation of acyclic hypergraph theory. Then we give the basic theorem which shows that the Cycle-Axiom covers the Acyclic-Axioms and constitutes the foundation of hypergraph theory.

关键词： Acyclic-axiom cycle-axiom hypergraph

Noether-Mei Symmetry of Mechanical System in Phase Space

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Communications in Theoretical Physics 2006年第5期45卷 882-884页

作者： fang jian-Hui wang Peng DING Ning College of Physical Science and Technology China University of Petroleum Dongying 257061 China

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i,e., a Noether-Mei symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the Mei conserved quantity deduced from the Noether-Mei symmetry of the system are obtained. Finally, two examples are given to illustrate the Bpplication of the results.

关键词： Noether-Mei symmetry conserved quantity mechanical system phase space

Two New Types of Conserved Quantities of Mei Symmetry for Holonomic Mechanical System

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Communications in Theoretical Physics 2008年第1期49卷 53-56页

作者： fang jian-Hui wang Peng DING Ning College of Physics Science and Technology China University of Petroleum Dongying 257061 China

Two new types of conserved quantities directly deduced by Mei symmetry of holonomic mechanical system are studied. The definition and criterion of Mei symmetry for holonomic system are given. A coordination function is introduced, the conditions under which the Mei symmetry can directly lead to the two types of conserved quantities and the forms of the two types of conserved quantities are obtained. An illustrative example is given. The result indicates that the coordination function can be selected properly according to the demand of the gauge function, thereby the gauge function can be found out more easily. Furthermore, since the choice of the coordination function has multiformity, much T more conserved quantity of Mei symmetry for holonomic mechanical system can be obtained.

关键词： holonomic mechanical system Mei symmetry new conserved quantity

Perturbation and Adiabatic Invariants of Mei Symmetry for Nonholonomic Mechanical Systems

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Communications in Theoretical Physics 2007年第4期47卷 594-596页

作者： DING Ning fang jian-Hui wang Peng College of Physical Science and Technology China University of Petroleum Dongying 257061 China

Based on the concept of adiabatic invariant, the perturbation and adiabatic invariants of the Mei symmetry for nonholonomic mechanical systems are studied. The exact invariants of the Mei symmetry for the system without perturbation are given. The perturbation to the Mei symmetry is discussed and the adiabatic invariants of the Mei symmetry for the perturbed system are obtained.

关键词： Mei symmetry perturbation adiabatic invariant nonholonomic mechanical system

On Defected Colourings of Graphs

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Acta Mathematicae Applicatae Sinica 2013年第4期29卷 777-786页

作者： Bing YAO Zhong-fu ZHANG jian-fang wang College of Mathematics and Statistics Northwest Normal University Institute of Applied Mathematic Lanzhou Jiaotong University Academy of Mathematics and Systems Science Chinese Academy of Sciences

Abstract A k-edge-coloring f of a connected graph G is a （A1, A2, , A）-defected k-edge-coloring if there is a smallest integer/ with 1 _ /3 _〈 k - i such that the multiplicity of each color j E {1,2,... ,/3} appearing at a vertex is equal to Aj _〉 2, and each color of {/3 -}- 1,/3 - 2, - , k} appears at some vertices at most one time. The （A1, A2,, A/）-defected chromatic index of G, denoted as X （A1, A2,, A/; G）, is the smallest number such that every （A1,A2,-.., A/）-defected t-edge-coloring of G holds t _〉 X（A1, A2 A;; G）. We obtain A（G） X（A1, ）2, , A/; G）＋ -- （Ai - 1） _〈 /k（G） 1, and introduce two new chromatic indices of G i=1 as： the vertex pan-biuniform chromatic index X pb （G）, and the neighbour vertex pan-biuniform chromatic index Xnpb（G）, and furthermore find the structure of a tree T having X pb （T） =1.

关键词： edge coloring total coloring defected coloring

Some Results on Spanning Trees

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Acta Mathematicae Applicatae Sinica 2010年第4期26卷 607-616页

作者： Bing Yao Zhong-fu Zhang jian-fang wang College of Mathematics and Information Science Northwest Normal UniversityLanzhou 730070China Academy of Mathematics and Systems Science Chinese Academy of SciencesBeijing 100190China

Some structures of spanning trees with many or less leaves in a connected graph are *** show（1） a connected graph G has a spanning tree T with minimum leaves such that T contains a longest path,and（2） a connected graph G on n vertices contains a spanning tree T with the maximum leaves such that Δ（G） =Δ（T） and the number of leaves of T is not greater than n D（G）＋1,where D（G） is the diameter of G.

关键词： Spanning tree leaves diameter Steiner tree independent number

Equitable Total Coloring of F_n ∨ W_n

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Acta Mathematicae Applicatae Sinica 2009年第1期25卷 83-86页

作者： Kun Gong Zhong-fu Zhang jian-fang wang Institute of Applied Mathematics Lanzhou Jiaotong University Lanzhou 730070 China Institute of Applied Mathematics Academy of Mathematics and Systems Science Chinese Academy of SciencesBejing 100190 China

The minimum number of total independent partition sets of V ∪ E of graph G（V,E） is called the total chromatic number of G denoted by χt（G）. If the difference of the numbers of any two total independent partition sets of V ∪ E is no more than one＇, then the minimum number of total independent partition sets of V ∪ E is called the equitable total chromatic number of G, denoted by χet（G）. In this paper, we obtain the equitable total chromatic number of the join graph of fan and wheel with the same order.

关键词： Fan wheel join graph equitable edge coloring equitable total coloring

Optimization of iron ore blending based on replacing Australian low alumina limonite

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Journal of Iron and Steel Research International 2023年第9期30卷 1675-1686页

作者： Bin Li Heng Zhou jian Huang Zong-wang Zhang Xue-feng She jian-fang wang Sheng-li Wu Ming-yin Kou State Key Laboratory of Advanced Metallurgy School of Metallurgical and Ecological EngineeringUniversity of Science and Technology BeijingBeijing 100083China Shougang Jingtang Iron and Steel Co. Ltd.Tangshan 063200HebeiChina Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education School of Automation and Electrical EngineeringUniversity of Science and Technology BeijingBeijing 100083China Delong Iron and Steel Co. Ltd.Xingtai 054009HebeiChina

Mauritanian iron ore powder(OM)has advantages of high iron grade,low aluminum content,and low loss on ignition,which can be used as a new mineral to replace low alumina limonite that has been exhausted in ***,it will have a certain negative impact on sintering because of its high SiO_(2) *** mechanism of SiO_(2) content affecting the sintering behavior was first studied through FactSage ***,the liquid fluidity,penetration,and high-temperature performance of different iron ore powders were ***,the optimization of ore blending structure was studied by the micro-sintering method and the sinter pot *** results show that the increase in SiO_(2) content can reduce the assimilation *** low penetration of OM can lead to an increase in the amount of liquid,and the high SiO_(2) content of OM increases the viscosity of the liquid *** is more,the increase in SiO_(2) also increases the formation of silicate and fayalite phase and inhibits the formation of silico-ferrite of calcium and aluminum(SFCA).To optimize ore blending structure,OM and the low SiO_(2) powder OD from Australia were used together,which improves the content of SFCA by 2.04%and decreases the contents of calcium silicate and fayalite by 0.63%and 4.99%,*** results of the sinter pot test indicated that the properties of sinter have been improved.

关键词： Mauritanian iron ore powder Liquid fluidity Penetration Mineral composition Sintering Ore blending Low alumina limonite