检索结果-南通市图书馆

On adjacent-vertex-distinguishing total coloring of graphs

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2005年第3期48卷 289-299页

作者： ZHANG Zhongfu, CHEN Xiang’en, LI Jingwen, YAO Bing, LU Xinzhong & WANG Jianfang College of mathematics and Information Science, Northwest Normal University, lanzhou 73.070,{2. Department of Computer, lanzhou Normal College, lanzhou 73.070,{2. institute of applied mathematics, lanzhou Jiaotong University, lanzhou 73.070,{2. College of Information and Electrical Engineering, lanzhou Jiaotong University, lanzhou 73.070,{2. institute of applied mathematics, Chinese Academy of Sciences, Beijing 100080,{2. 1. College of mathematics and Information Science Northwest Normal University 730070 Lanzhou China 2. Department of Computer Lanzhou Normal College 730070 Lanzhou China 3. institute of applied {2. Lanzhou Jiaotong University 730070 Lanzhou China 4. College of Information and Electrical Engineering Lanzhou Jiaotong University 730070 Lanzhou China 5. institute of applied {2. Chinese Academy of Sciences 100080 Beijing China

In this paper, we present a new concept of the adjacent-vertex-distinguishing total coloring of graphs (briefly, AVDTC of graphs) and, meanwhile, have obtained the adjacent-vertex-distinguishing total chromatic number... 详细信息

关键词： graph, proper total coloring, adjacent-vertex-distinguishing total coloring, adjacent-vertex-distinguishing total chromatic number.

D(β)-vertex-distinguishing total coloring of graphs

在线全文

学校读者我要写书评

暂无评论

Science china mathematics 2006年第10期49卷 1430-1440页

作者： ZHANG Zhongfu,LI Jingwen,CHEN Xiang’en,YAO Bing, WANG Wenjie & QIU Pengxiang institute of applied Mathematic, {2. Jiaotong University, lanzhou 73.070, china College of mathematics and Information Science, Northwest Normal University, lanzhou 73.070, china College of Information and Electrical Engineering, {2. Jiaotong University, lanzhou 73.070, china institute of applied Mathematic Lanzhou Jiaotong University Lanzhou 730070 China College of mathematics Information Science Northwest Normal University Lanzhou 730070 China College of Information Electrical Engineering Lanzhou Jiaotong University Lanzhou 730070 China

A new concept of the D(β)-vertex-distinguishing total coloring of graphs, i.e., the proper total coloring such that any two vertices whose distance is not larger than β have different color sets, where the color set of a vertex is the set composed of all colors of the vertex and the edges incident to it, is proposed in this paper. The D(2.-vertex-distinguishing total colorings of some special graphs are discussed, meanwhile, a conjecture and an open problem are presented.

关键词： graph, total coloring, D(β)-vertex-distinguishing total coloring, D(β)-vertexdistinguishing total chromatic number.

On the periodic solutions of a type of differential-iterative equations

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第3期43卷 204-206页

作者： GE Weigao 1, LIU Zhengrong 2.and YU Yuanhong 3 1. Department of applied mathematics, Beijing {2. of Technology, Beijing 100081, china 2. Department of mathematics, Yunnan University, Kunming 650091, china 3. {2. of applied mathematics, C Department of applied mathematics Beijing Institute of Technology Beijing China Department of mathematics Yunnan University Kunming China institute of applied {2. Chinese Academy of Sciences Beijing China

Sufficient conditions for the existence of periodic solutions to a type of nonautonomous differential_iterative equations are given.

关键词： differential_iterative equation periodic solution fixed point.

Existence of the solutions and the attractors for the large-scale atmospheric equations

在线全文

学校读者我要写书评

暂无评论

Science china Earth Sciences 2006年第6期49卷 650-660页

作者： HUANG Haiyang1 & GUO Boling2.1. Department of mathematics, Beijing Normal University, Beijing 100875, china 2. {2. of applied Physics and Computational mathematics, Beijing 100080, china 1. Department of mathematics Beijing Normal University Beijing 100875 China 2. institute of applied Physics and Computational {2. Beijing 100080 China

In this paper, firstly, the proper function space is chosen, and the proper expression of the operators is introduced such that the complex large-scale atmospheric motion equations can be described by a simple and abstract equation, by which the definition of the weak solution of the atmospheric equations is made. Secondly, the existence of the weak solution for the atmospheric equations and the steady state equations is proved by using the Galerkin method. The existence of the non-empty global attractors for the atmospheric equations in the sense of the Chepyzhov-Vishik’s definition is obtained by constructing a trajectory attractor set of the atmospheric motion equations. The result obtained here is the foundation for studying the topological structure and the dynamical behavior of the atmosphere attractors. Moreover, the methods used here are also valid for studying the other atmospheric motion models.

关键词： atmosphere equations, weak solution, trajectory attractor, global attractor, equilibrium.

On some tests-based projection pursuit for elliptical symmetry of a high-dimensional distribution

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第6期43卷 450-458页

作者： JING Ping 1 and ZHU Lixing 2.1. mathematics Lab, china University of Mining & Technology, Beijing 100083, china 2. Probability Lab, institute of applied mathematics, Chinese Academy of Sciences, Beijing 100080, china mathematics Lab China University of Mining & Technology Beijing China Probability Lab Institute of Applied Mathematics Chinese Academy of Sciences Beijing China

Some test statistics of Kolmogorov type and Cramér-von Mises type based on projection pursuit technique are proposed for the testing problem of sphericity of a high-dimensional distribution. The limiting distributions of the test statistics are derived under the null hypothesis and under any fixed alternative. The asymptotic properties of bootstrap approximation are investigated. Furthermore, for computational reasons, an approximation for the statistics, based on the number theoretic method, is suggested.

关键词： bootstrap approximation projection pursuit type statistic elliptical symmetry.

Two-dimensional Riemann problems of simplified Euler equation

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第6期43卷 441-444页

作者： YANG Xiaozhou 1,2.and HUANG Feimin+1 1. institute of applied {2., Chinese Academy of Sciences, Beijing 100080, china 2. Department of {2., Shantou University, Guangdong 515063, china institute of applied {2. Chinese Academy of Sciences Beijing China Department of mathematics Shantou University Guangdong China

The two-dimensional Riemann problem of simplifed Euler equation is discussed, in which initial value contains two different constant states that are separated by a smooth curve. This problem is a natural description of realistic phenomena, but it is hard to study by conventional idea. So a new approach is proposed. Some new properties about two-dimensional rarefaction wave, shock wave and intermediate state of solutions are disclosed.

关键词： D Riemann problem implicit functions cylindrical surface pencil of cylindrical surface.

Global convergence property of s-dependent GFR conjugate gradient method

在线全文

学校读者我要写书评

暂无评论

Chinese Science Bulletin 1998年第23期43卷 1959-1965页

作者： WANG Changyu 1,2.and ZHANG Yuzhong\+1 1. institute of Operations Research in Qufu Normal University, Qufu 2.3165, china {2., Chinese Academy of Sciences, Beijing 100080, china institute of Operations Research Qufu Normal University Qufu China institute of applied {2. Chinese Academy of Sciences Beijing China

An \%S\%_dependent GFR method and a generalized conjugate gradient method are designed. Two estimated values of upper bounds for the ratio of β k to β FR k are given. The two convergence theorems are proved. The global convergent properties of \%s\%_dependent GFR method are obtained adopting several choice strategies of steplength and some results in recent literature are extended.

关键词： steplength linear search global convergence conjugate gradient.

BIVARIATE RATIONAL IN TERPOLANTS WITHRECTANGLE-HOLE-STRUCTURE

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 1999年第1期17卷 1-14页

作者： Jie-qing Tan(institute of applied {2., Hefei University Of Technology, Hefei 2.0009, china) Hefei Univ Technol Inst Appl Math Hefei 230009 Peoples R China

Bivariate vector valued rational interpolants are established by means of Thiele-type branched continued fractions and Samelson inverse over rectangular grids with holes, characterisation theorem with topologic struct... 详细信息

关键词： branched continued fraction interpolation vector-grid

ORDER PROPERTIES AND CONSTRUCTION OF SYMPLECTIC RUNGE-KUTTA METHODS

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 2000年第6期18卷 645-656页

作者： Shou-fu Li (institute for Computational and applied {2., Xiangtan University, Xiangtan 411105, china) 湘潭大学湖南湘潭 411105

The main results of this paper are as follows: (1) Suppose an s stage Runge-Kutta method is consistent, irreducible, non-confluent and symplectic. Then this method is of order at least 2. + l(1 less than or equal to p less than or equal to s - 1) provided that the simplifying conditions C(p) (or D(p) with non-zero weights) and B(2. + l) hold, where 1 0, 1, 2. (2. Suppose an s stage Runge-Kutta method is consistent, irreducible and non-confluent, and satisfies the simplifying conditions C(p) and D(p) with 0 s. Then this method is symplectic if and only if either p = s or the nonlinear stability matrix M of the method has an (s - p) x (s - p) chief submatrix (M) over cap = 0. (3) Using the results (1) and (2. as bases, we present a general approach for the construction of symplectic Runge-Kutta methods, and a software has been designed, by means of which, the coefficients of s stage symplectic Runge-Kutta methods satisfying C(p),D(p) and B(2. + l) can be easily computed, where 1 I P less than or equal to s, 0 less than or equal to l less than or equal to 2. s less than or equal to 2. + l less than or equal to 2..

关键词： numerical analysis symplectic Runge-Kutta methods simplifying conditions order results