期刊：
Journal of Computational and Theoretical Nanoscience,2011年8(4):656-658 ISSN：1546-1955
通讯作者：
Chen, Shubo
作者机构：
[Chen, Shubo] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
通讯机构：
[Chen, Shubo] H;Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Hunan, Peoples R China.
关键词：
DENDRIMER;HOSOYA INDEX;MATCHING;NANOSTARS
摘要：
A dendrimer nanostar is a tree-like highly branched polymer molecule. Dendrimer nanostars are synthesized from monomers with new branches added in discrete steps to form a tree-like architecture. They have some proven applications, and numerous potential applications. Let G is a connected graph with vertex set V and edge set E, the Hosoya index of a graph is defined as the total number of its matchings. We obtain exact formulas for calculating the Hosoya index of dendrimer nanostars.
期刊：
Optoelectronics and Advanced Materials-Rapid Communications,2011年5(1-2):160-163 ISSN：1842-6573
通讯作者：
Hua, Hongbo
作者机构：
[Yang, Lihui] Hunan City Univ, Dept Math, Yiyang City 413000, Hunan, Peoples R China.;[Hua, Hongbo] Huaiyin Inst Technol, Fac Math & Phys, Huaian City 223003, Jiangsu, Peoples R China.
通讯机构：
[Hua, Hongbo] H;Huaiyin Inst Technol, Fac Math & Phys, Huaian City 223003, Jiangsu, Peoples R China.
关键词：
Dendrimer nanostar;Modified terminal wiener index;Terminal wiener index
摘要：
The terminal wiener index (TIN) of a tree T was defined recently by Gutman et al [1] as TW(T)= Sigma(e=uv is an element of E(T)) n(e;u)n(e;v), where n(e;u) is the number of pendent vetices in T lying closer to u than to v. In this paper, we first introduce a new topological index, named modified terminal wiener index (MTW), by extending the definition of terminal wiener index to any connected graph. Then we investigate the mathematical property of MTW and compute the MTW for a type of dendrimer nanostars.
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;Sum-connectivity index
摘要：
If G is a (molecular) graph with n vertices, and di is the degree of its i-th vertex, then the sum-connectivity index of G is the sum of the weights (du + dv)-1/2 of all edges uv of G. A polyomino system is a finite 2-connected plane graph such that each interior face (or say a cell) is surrounded by a regular square of length one. Formulas for calculating the sum-connectivity index of polyomino chains are provided.
摘要：
For a graph G = (V, E), the modified Schultz index of G is defined as S*(G)= Sigma({u, v} subset of V(G)) (d(G)(u) . d(G)(v))d(G)(u, v) where d(G)(u) (or d(u)) is the degree of the vertex u of G, and d(G)(u, v) is the distance between u and v. Let U(n) be the set of unicyclic graph with n vertices. In this paper, we study the modified Schultz index of U(n) by introducing some transformations. Unicyclic graphs with the maximum and minimum modified Schultz index are determined.
作者机构：
[Xia F.; Kuang Y.] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Kuang, Y.] D;Department of Mathematics, Hunan City University, China
关键词：
General sum-connectivity;Geometric-arithmetic index;Sum-connectivity;Volkmann tree;Wiener polarity index
摘要：
For many molecular structure descriptors the Volkmann tree Vn,d is extremal among n-vertex trees in which no vertex has degree greater than d. For this important class of (molecular) graphs, formulas for the general sum-connectivity, geometric-arithmetic index and Wiener polarity indices are given.
期刊：
Journal of Applied Mathematics and Computing,2011年37(1-2):459-471 ISSN：1598-5865
通讯作者：
Zhang, Q.(zqianhong68@163.com.cn)
作者机构：
[Zhang, Qianhong] Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, Guizhou 550004, China;[Zhang, Qianhong; Luo, Wei] Basic Science Department, Hunan Institute of Technology, Hengyang, Hunan 421002, China;[Yang, Lihui] Department of Mathematics, Hunan City University, Yiyang, Hunan 413000, China
通讯机构：
[Qianhong Zhang] G;Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, Guiyang, P.R. China<&wdkj&>Basic Science Department, Hunan Institute of Technology, Hengyang, P.R. China
期刊：
WSEAS Transactions on Mathematics,2011年10(12):490-499 ISSN：1109-2769
通讯作者：
Zhang, Q.(zqianhong68@163.com)
作者机构：
[Zhang, Qianhong] Guizhou College of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, Guiyang, Guizhou 550004, China;[Yang, Lihui] Hunan City University, Department of Mathematics, Yiyang, Hunan 413000, China
通讯机构：
Guizhou College of Finance and Economics, Guizhou Key Laboratory of Economics System Simulation, School of Mathematics and Statistics, China
摘要：
This paper deals with an impulsive stochastic fuzzy cellular neural networks with both time-varying and infinite distributed delays. Based on M-matrix theory and stochastic analysis technique, a sufficient condition is obtained to ensure the existence, uniqueness, and global exponential p-stability of the equilibrium point for the addressed impulsive stochastic fuzzy cellular neural network with mixed delays. Moreover a numerical example is given to illustrate the effectiveness of stability results.
期刊：
World Academy of Science, Engineering and Technology,2011年51:1031-1036 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, we study the existence, the boundedness and the asymptotic behavior of the positive solutions of a fuzzy nonlinear difference equations where (xn) is a sequence of positive fuzzy numbers, A,Bi and the initial values x-k, x-k+1, · · ·, x0 are positive fuzzy numbers. k ∈{0, 1, 2, · · ·}.
期刊：
International Journal of Mathematical Analysis,2011年5(45-48):2271-2274 ISSN：1312-8876
通讯作者：
Qian, W.
作者机构：
Huzhou Broadcast and TV University, Huzhou 313000, China;Department of Mathematics, Hunan City University, Yiyang 413000, China
通讯机构：
Huzhou Broadcast and TV University, China
关键词：
Rectifiable arc;Subcurve;Uniform domain
摘要：
Suppose that D is a domain in R̄ n, in this paper, we prove that D is a uniform domain if and only if for any α ∈ (0, 1] there exists positive constant M(α) such that, each pair of points z 1, z 2 ∈ D \ {∞} can be joined by a rectifiable arc γ ⊂ D such that for any positive integer n and any 0 ≤ c 1 < c 2 < · · · < cn ≤ 1/2 yields where γ j [c i, c i+1] = {γ(s): cil ≤ s ≤ c i+1l} denotes the subcurve of γ which starting from z j and with arc length s of γ as parameter, j = 1, 2, i = 1, 2, n - 1, l = l(γ) is the euclidean length of γ.
期刊：
Digest Journal of Nanomaterials and Biostructures,2011年6(2):717-723 ISSN：1842-3582
通讯作者：
Hua, Hongbo
作者机构：
[Yang, Lihui] Hunan City Univ, Dept Math, Yiyang City 413000, Hunan, Peoples R China.;[Wang, Maolin; Hua, Hongbo] Huaiyin Inst Technol, Fac Math & Phys, Huaian City 223003, Jiangsu, Peoples R China.
通讯机构：
[Hua, Hongbo] H;Huaiyin Inst Technol, Fac Math & Phys, Huaian City 223003, Jiangsu, Peoples R China.
摘要：
The Omega polynomial of a connected graph G, denoted by Ω(G,x), is defined as, and the Sadhana polynomial of G is defined as, where m(G, c) is the number of strips of length c and |E(G)| is the number of edges in G. In this paper, the Omega and Sadhana polynomials are computed for the pericondensed benzenoid graphs.
