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1. $G$-parking functions and minimal deletion-contraction sequences of graphs | |||
Ma Jun,Yeh Yeong-Nan | |||
Mathematics 19 November 2015 | |||
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Abstract:In this paper, for a connected graph $G$, we establish a bijectionfrom the set of minimal deletion-contraction sequences of $G$ tothe set of $G$-parking functions. With the benefit of thebijection, we express the universal polynomial of $G$ in terms of weights of$G$-parking functions. | |||
TO cite this article:Ma Jun,Yeh Yeong-Nan. $G$-parking functions and minimal deletion-contraction sequences of graphs[OL].[19 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4663695 |
2. Multiple periodic solutions for a class of fourth-orderdifference equations | |||
ZHOU Jian-Wen,WANG Yan-Ning | |||
Mathematics 06 November 2015 | |||
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Abstract:In this paper, we consider the multiplicity of periodic solutionsfor a class of fourth-order difference equations. We establish some sufficientconditions on the multiplicity of periodic solutions for the fourth-order difference equationsegin{eqnarray*}Delta^{2}(r_{n-2}Delta^{2}x_{n-2})+f(n,x_{n})=0, ninmathbb{Z},end{eqnarray*}where $Delta$ is the forwarddifference operator $Delta x_{n}=x_{n+1}-x_{n},Delta^{2}x_{n}=Delta(Delta x_{n})$. Byestablishing a proper variational set, two multiplicity results areobtained by means of somemultiple critical points theorems. | |||
TO cite this article:ZHOU Jian-Wen,WANG Yan-Ning. Multiple periodic solutions for a class of fourth-orderdifference equations[OL].[ 6 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4660171 |
3. Cauchy problem for a class of generalized Zakharov equations | |||
Shaotao Hu,Xianzhong Yao | |||
Mathematics 18 March 2015 | |||
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Abstract:The Zakharov equations are one of the important mathematical models in plasma physics. This paper mainly studies a class of generalized Zakharov equations in dimensions less than two. For a suitable class of initial data, the existence and uniqueness of the global solution for the generalized Zakharov equations are proved. | |||
TO cite this article:Shaotao Hu,Xianzhong Yao. Cauchy problem for a class of generalized Zakharov equations[OL].[18 March 2015] http://en.paper.edu.cn/en_releasepaper/content/4634405 |
4. Selection of Covariates for estimating causal effects in a Given Diagram | |||
ZHANG San-Feng, LI Si | |||
Mathematics 26 December 2014 | |||
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Abstract:Graphical models with the corresponding linear structural equation model can be used to describe a causal-effect relationship. A common problem is argued about which covariates in the diagram should be used to estimate the causal effect of a control plan. The covariates selection in this paper is back-door criterion. Unfortunately the result of selection of covariates is not unique as we shown in the following part. In this paper, we evaluated the asymptotic variance of the estimated causal effect with different plans and give a comparison between them. | |||
TO cite this article:ZHANG San-Feng, LI Si. Selection of Covariates for estimating causal effects in a Given Diagram[OL].[26 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4625554 |
5. Excedance Numbers for Permutations of Type $D$ | |||
ZHAO Fei-Yan | |||
Mathematics 24 November 2014 | |||
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Abstract:This work provides a study on the multidistribution of type $B$excedances, fixed points and cycles on the permutations of type$D$. We derive the recurrences and closed formulas for thedistribution of signed excedances on type $D$ permutations as wellas derangements via combinatorial construction. | |||
TO cite this article:ZHAO Fei-Yan. Excedance Numbers for Permutations of Type $D$[OL].[24 November 2014] http://en.paper.edu.cn/en_releasepaper/content/4620198 |
6. Orbital Stability of Standing Waves for the Davey-Stewartson System | |||
ZHU Shihui | |||
Mathematics 27 September 2014 | |||
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Abstract:This paper is concerned with standing waves of the Davey-Stewartson system in $mathbb{R}^2$ by the profile decomposition theory.A precisely condition for the existence of stable standing waves for the Davey-Stewartson system is obtained, which removes the uniqueness assumption of the ground statesin Ohta's results. | |||
TO cite this article:ZHU Shihui. Orbital Stability of Standing Waves for the Davey-Stewartson System[OL].[27 September 2014] http://en.paper.edu.cn/en_releasepaper/content/4611442 |
7. Representations of lift bicircular matroids | |||
CHEN Rong,GAO Zifei | |||
Mathematics 17 September 2014 | |||
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Abstract:Frame matroids and lift matroids are main types matroids arisen from biased graphs. Coullard, del Greco and Wagner characterized which biased graphs without balanced cycles have the same frame matroid. In this paper, we characterize which biased graphs without balanced cycles have the same lift matroid, which answers a question proposed by Irene Pivotto in the matroid union blog. | |||
TO cite this article:CHEN Rong,GAO Zifei. Representations of lift bicircular matroids[OL].[17 September 2014] http://en.paper.edu.cn/en_releasepaper/content/4610397 |
8. A Nonmonotonic Self-Adaptive Trust Region Algorithm Without Line Search | |||
Hang Dan,Zhou Qunyan | |||
Mathematics 01 October 2013 | |||
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Abstract:In this paper,we propose a nonmonotone trust region method for unconstrained optimization.Our method can be regarded as a combination of nonmonotone technique ,fixed steplength and self-adaptive trust region,when a trial step is not accepted ,the method doesn't resolve the subproblem but generates a iterative point whose steplength is defined by formula. Under mild conditions,we prove that the algorithm is global convergence and superlinear convergence. Numerical results are also presented. | |||
TO cite this article:Hang Dan,Zhou Qunyan. A Nonmonotonic Self-Adaptive Trust Region Algorithm Without Line Search[OL].[ 1 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4562233 |
9. Rigorous perturbation bounds for the SR factorization | |||
Yang Yanfei,Li Hanyu | |||
Mathematics 24 September 2013 | |||
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Abstract:In this paper, we obtain some rigorous perturbation bounds for the SR factorization with normwise or componentwise perturbations in the given matrix, where the componentwise perturbation has the form of backward error resulting from the SR factorization algorithms. As a special case, some first order perturbation bounds are presented. Furthermore, the rigorous columnwise perturbation bounds for the factor $R$ are also derived. | |||
TO cite this article:Yang Yanfei,Li Hanyu. Rigorous perturbation bounds for the SR factorization[OL].[24 September 2013] http://en.paper.edu.cn/en_releasepaper/content/4561416 |
10. An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using iterative technique | |||
Hu Yang,Yuan Haizhuan,Shu Shi,Niu Xiaodong,Li Mingjun | |||
Mathematics 08 August 2013 | |||
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Abstract:In this paper a novel immersed boundary-lattice method (IB-LBM) is proposed to simulate incompressible viscous flows. On the basis of momentum exchanged-based IB-LBM, we introduce an iterative correction procedure to achieve our results. On the one hand, the present method can ensure the non-slip boundary condition is satisfied at the boundary points. On the other hand ,this version IB-LBM overcome the drawback that the numerical results of conventional IB-LBM is affected by the distribution of Lagrangian points, so this proposed method is robust. We also do some simple theoretical analysis for some issues. Numerical experiment for Taylor-Green vortices show that the present IB-LBM has second-order accuracy, and the the distribution of Lagrangian points has Little effects on L_2-errors. Numerical example for the flows around a circular shown that the non-slip boundary condition is better satisfied by using this method. Further the simulation results of have a good agreements with the previous literature. | |||
TO cite this article:Hu Yang,Yuan Haizhuan,Shu Shi, et al. An improved momentum exchanged-based immersed boundary-lattice Boltzmann method by using iterative technique[OL].[ 8 August 2013] http://en.paper.edu.cn/en_releasepaper/content/4554453 |
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