期刊：
Ars Combinatoria,2011年101:353-358 ISSN：0381-7032
通讯作者：
Chen, Shubo
作者机构：
[Chen, Shubo] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.;[Liu, Weijun; Chen, Shubo] Cent S Univ, Coll Math, Changsha 410075, Hunan, Peoples R China.;[Yan, Fengming] Hunan Inst Humanities Sci & Technol, Loudi 417000, Hunan, Peoples R China.
通讯机构：
[Chen, Shubo] H;Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.
摘要：
Let G = (V, E) be a simple connected graph, d(v) is the degree of vertex v. The zeroth-order Randic index of G is defined as R-alpha(0) (G) = Sigma(v epsilon V) d(v)(alpha), where alpha is an arbitrary real number. Let G* be the thorn v graph of G by attaching d(G)(v(i)) new pendent edges to each vertex v(i)(1 <= i <= n) of G. In this paper, we investigate the zeroth-order general Randic index of a class thorn tree and determine the extremal zeroth-order general Randic index of the thorn graphs G* (n, m).
摘要：
This paper studies an inverse coefficient problem of a parabolic equation where the final observation is given, the unknown coefficient depends on both the space variable x and the time variable t. Based on the optimal control framework, the inverse problem is transformed into an optimization problem and a new cost functional is constructed in the paper. The existence of the minimizer of the cost functional is proved, and the necessary conditions which must be satisfied by the minimizer are also given.
作者机构：
Department of Mathematics, Hunan City University Yiyang, Hunan 413000, China
通讯机构：
Department of Mathematics, Hunan City University Yiyang, China
关键词：
Polyomino chains;Randić index;Segment
摘要：
The Randić index R(G) of an organic molecule whose molecular graph is G is the sum of the weights (dudv)-1/2 of all edges uv of G, where du(or dv) denote the degree of vertex u(or v). Efficient formulas for calculating the Randíc index of polyomino chains are provided.
摘要：
Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.
期刊：
Journal of Convergence Information Technology,2011年6(5):339-346 ISSN：1975-9320
通讯作者：
Qin, J.(qinjiaohua@163.com)
作者机构：
[Qin, Jiaohua] College of Computer Science and Information Technology, Central South University of Forestry and Technology, Changsha, China;[Qin, Jiaohua] Department of Mathematics and computer, Hunan City University, Yiyang, 413000, China
摘要：
This paper revisits the steganalysis method involving a stochastic approach estimator (SAE) for estimating the number of embedding changes for non-adaptive ±k embedding in digital images. It suggests new estimators, upgrading the method's three components: cover image estimation, stego message estimation, and stego message length estimation. Wide-ranging experimental results show that the new method is efficient to detect and estimate the embedding changes for non-adaptive ±k steganography, and produces greatly improved accuracy. Furthermore, it is shown that for images with a low level noise this approach can detect and estimate the number of embedding changes even for small values of k.
期刊：
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY,2011年66(3):825-836 ISSN：0340-6253
通讯作者：
Huang, Ziwen
作者机构：
[Huang, Ziwen; Wan, Xuegang] JiangXi BlueSky Univ, Dept Common Math & Phys, Nanchang 330098, Jiangxi, Peoples R China.;[Chen, Shubo] Hunan City Univ, Dept Math, Yiyang 413000, Hunan, Peoples R China.;[Deng, Hanyuan] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China.
通讯机构：
[Huang, Ziwen] J;JiangXi BlueSky Univ, Dept Common Math & Phys, Nanchang 330098, Jiangxi, Peoples R China.
摘要：
The Merrifield-Simmons index i(G) of a (molecular) graph G is defined as the total number of the independent sets of the graph, i.e., i(G) = Sigma(n)(k=0) i(G, k). In this paper, we characterize acyclic molecular graphs with the largest and second largest Merrifield-Simmons indices among all n-vertex acyclic molecular graphs with a given size matching.
期刊：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS,2011年(41):1-11 ISSN：1417-3875
通讯作者：
Yang, Mingquan
作者机构：
[Long, Fei] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.;[Yang, Mingquan] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China.
通讯机构：
[Yang, Mingquan] J;Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Peoples R China.
关键词：
Nicholson's blowflies model;positive periodic solutions;coincidence degree;existence and uniqueness;harvesting term
摘要：
This paper is concerned with a class of Nicholson's blowflies model with a linear harvesting term. By applying the method of coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, an example is employed to illustrate the main results.
摘要：
In this paper, we obtained some new results about a matrix is not generalized strictly diagonally dominant matrix by using gauss elimination and some exists theories, which improve the corresponding results of [4]. Advantages are illustrated by numerical examples.
期刊：
World Academy of Science, Engineering and Technology,2011年51:1025-1030 ISSN：2010-376X
通讯作者：
Zhang, Q.(zqianhong68@163.com)
作者机构：
[Zhang, Qianhong] Guizhou Key Laboratory of Economics System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, China;[Liao, Daixi] Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, China;[Yang, Lihui] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
摘要：
In this paper, by employing a new Lyapunov functional and an elementary inequality analysis technique, some sufficient conditions are derived to ensure the existence and uniqueness of periodic oscillatory solution for fuzzy bi-directional memory (BAM) neural networks with time-varying delays, and all other solutions of the fuzzy BAM neural networks converge the uniqueness periodic solution. These criteria are presented in terms of system parameters and have important leading significance in the design and applications of neural networks. Moreover an example is given to illustrate the effectiveness and feasible of results obtained.
