期刊：
TAIWANESE JOURNAL OF MATHEMATICS,2011年15(3):1247-1259 ISSN：1027-5487
通讯作者：
Hou, Xuanji
作者机构：
[Hou, Xuanji] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Hou, Xuanji] H;Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Ergodicity;Minimality;Reducibility
摘要：
In this paper, we use the results in [4, 5, 11] to prove several interesting local or global density results of minimal, ergodic or reducible quasi-periodic linear systems on SU(2) or SO(3,R). In particular, we give a positive answer to a open problem of H. Eliasson in [3, 4].
作者机构：
[Lai, Hong-Jian] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China.;[Lai, Hong-Jian] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA.;[Li, Xiangwen] Huazhong Normal Univ, Dept Math, Wuhan 430070, Peoples R China.;[Shao, Yehong] Ohio Univ, Dept Math, Ironton, OH 45638 USA.;[Zhan, Mingquan] Millersville Univ Pennsylvania, Dept Math, Millersville, PA 17551 USA.
通讯机构：
[Lai, Hong-Jian] X;Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China.
关键词：
Group connectivity;group connectivity number;group coloring;group chromatic number
摘要：
In 1950s, Tutte introduced the theory of nowhere-zero flows as a tool to investigate the coloring problem of maps, together with his most fascinating conjectures on nowhere-zero flows. These have been extended by Jaeger et al. in 1992 to group connectivity, the nonhomogeneous form of nowhere-zero flows. Let G be a 2-edge-connected undirected graph, A be an (additive) abelian group and A* = A - {0}. The graph G is A-connected if G has an orientation D(G) such that for every map b : V(G) → A satisfying ∑vεV(G) b(v) = 0, there is a function f : E(G) → A* such that for each vertex v ε V(G), the total amount of f-values on the edges directed out from v minus the total amount of f-values on the edges directed into v is equal to b(v). The group coloring of a graph arises from the dual concept of group connectivity. There have been lots of investigations on these subjects. This survey provides a summary of researches on group connectivity and group colorings of graphs. It contains the following sections. 1. Nowhere-zero Flows and Group Connectivity of Graphs 2. Complete Families and A-reductions 3. Reductions with Edge-deletions, Vertex-deletions and Vertex-splitting 4. Group Colorings as a Dual Concept of Group Connectivity 5. Brooks Theorem, Its Variations and Dual Forms 6. Planar Graphs 7. Group Connectivity of Graphs 7.1 Highly Connected Graphs and Collapsible Graphs 7.2 Degrees Conditions 7.3 Complementary Graphs 7.4 Products of Graphs 7.5 Graphs with Diameter at Most 2 7.6 Line Graphs and Claw-Free Graphs 7.7 Triangular Graphs 7.8 Claw-decompositions and All Tutte-orientations
期刊：
Journal of Mathematical Chemistry,2011年49(2):325-327 ISSN：0259-9791
通讯作者：
Li, Shuchao
作者机构：
[Zhang, Minjie; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Zhang, Minjie] Huangshi Inst Technol, Fac Math & Phys, Huangshi 435003, Peoples R China.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
期刊：
Journal of Combinatorial Optimization,2011年22(2):252-269 ISSN：1382-6905
通讯作者：
Li, Shuchao
作者机构：
[Hou, Ailin; Li, Shuchao] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Wei, Bing; Song, Lanzhen] Univ Mississippi, Dept Math, Oxford, MS 38677 USA.
通讯机构：
[Li, Shuchao] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
关键词：
Zagreb index;Maximal outerplanar graph;Perfect matching
摘要：
For a (molecular) graph, the first Zagreb index M
1 is equal to the sum of squares of the vertex degrees, and the second Zagreb index M
2 is equal to the sum of products of degrees of pairs of adjacent vertices. In this paper, we investigate the first and the second Zagreb indices of maximal outerplanar graph. We determine sharp upper and lower bounds for M
1-, M
2-values among the n-vertex maximal outerplanar graphs. As well we determine sharp upper and lower bounds of Zagreb indices for n-vertex outerplanar graphs (resp. maximal outerplanar graphs) with perfect matchings.
期刊：
Journal of Statistical Planning and Inference,2011年141(5):1635-1645 ISSN：0378-3758
通讯作者：
Qin, Hong
作者机构：
[Qin, Hong; Ou, Zujun] Jishou Univ, Coll Math & Comp Sci, Jishou 416000, Peoples R China.;[Qin, Hong; Ou, Zujun] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.;[Li, Hongyi] Jishou Univ, Normal Coll, Jishou 416000, Peoples R China.
通讯机构：
[Qin, Hong] J;Jishou Univ, Coll Math & Comp Sci, Jishou 416000, Peoples R China.
关键词：
Combined blocked design;Generalized minimum aberration;Generalized resolution;Indicator function
摘要：
This paper discusses the issue of choosing optimal designs when both blocking and foldover techniques are simultaneously employed to nonregular two-level fractional factorial designs. By using the indicator function, the treatment and block generalized wordlength patterns of the combined blocked design under a general foldover plan are defined. Some general properties of combined block designs are also obtained. Our results extend the findings of Ai et al. (2010) from regular designs to nonregular designs. Based on these theoretical results, a catalog of optimal blocking and foldover plans in terms of the generalized aberration criterion for nonregular initial design with 12, 16 and 20 runs is tabulated, respectively. Crown Copyright (C) 2010 Published by Elsevier B.V. All rights reserved.
期刊：
GREY SYSTEMS-THEORY AND APPLICATION,2011年1(2):178-185 ISSN：2043-9377
通讯作者：
Wei, Y.
作者机构：
[Yong Wei] School of Mathematics and Information, China West Normal University, Nanchong, China;[Xin-hai Kong] Southwest Petroleum University, Chengdu, China;[Da-hong Hu] Department of Mathematics, Hankou Branch School of CCNU, Wuhan, China
通讯机构：
[Wei, Y.] S;School of Mathematics and Information, China
会议名称：
2011 IEEE International Conference on Grey System and Intelligent Services Joint with the 15th WOSC International Congress on Cybernetics and System(2011 IEEE灰色系统与智能服务国际会议暨系统与控制世界组织第15届年会)
会议时间：
2011-09-15
会议地点：
南京
会议论文集名称：
2011 IEEE International Conference on Grey System and Intelligent Services Joint with the 15th WOSC International Congress on Cybernetics and System(2011 IEEE灰色系统与智能服务国际会议暨系统与控制世界组织第15届年会)论文集
会议名称：
IEEE international conference on emergency management and management sciences
会议时间：
2012-08-10
会议地点：
Beijing(CN)
会议主办单位：
[Yang Shi-da;Shan Zhi-yong] Wuhan Univ Sci & Technol, Coll Comp Sci & Technol, Wuhan 430072, Hubei, Peoples R China.^[Yi Ya-lin] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China.^[Shan Zhi-yong] Donghua Univ, Coll Informat Sci & Technol, Shanghai 200051, Peoples R China.
会议论文集名称：
Proceedings of 2012 IEEE 3rd international conference on emergency management and management sciences
关键词：
artificial chemical reaction optimization algorithm;Numerical optimization
摘要：
Chemical reaction(ACR) optimization algorithm invented recently by Bilal Alatas is a heuristics algorithm. However, there is still an insufficiency in ACR algorithm regarding its solution search equation, which is good at exploration but poor at exploitation. Inspired by Particle swarm optimization, we propose an improved ACR algorithm called gbest-guided ACR (GACR) algorithm by incorporating the information of global best (gbest) solution into the solution search equation to improve the exploitation. The experimental results tested on a set of numerical benchmark functions show that GACR algorithm can outperform ACR algorithm in most of the experiments
作者机构：
[Deng Qintao] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China.;[Deng Qintao] Huazhong Normal Univ, Lab Nonlinear Anal, Wuhan 430079, Peoples R China.;[Deng Qintao] Huazhong Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Deng Qintao] S;Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China.
关键词：
k-weighted bi-Ricci curvature;finite index;constant mean curvature
摘要：
In this article,we prove that any complete finite index hypersurface in the hyperbolic space H4(-1)(H5(-1))with constant mean curvature H satisfying H 2>6463(H~2>175148respectively)must be compact. Specially,we verify that any complete and stable hypersurface in the hyperbolic space H~4(-1)(resp. H~5(-1))with constant mean curvature H satisfying H~2>6463(resp. H2>175148)must be compact. It shows that there is no manifold satisfying the conditions of some theorems in[7,9]
