An Average Edge Distance Contribution Method for Identifying Influential Nodes in Complex Networks

How to accurately and effectively identify the influential nodes in networks has always been a core issue. In order to evaluate the importance of the nodes, some famous centrality measures have been proposed and widely used. However, the existing methods still exist some shortcomings. In this work, a novel method named average edge distance contribution (AEDC) is proposed to effectively find the influential nodes, which measures the average contribution of each edge to the sum of distances of all node pairs in the network. For each node, we utilize the relative change of AEDC by removing it from the network to determine its influence. For verifying the effectiveness and feasibility of the AEDC method, we simulate the process of disease spreading in four real complex networks with the Susceptible Infected Recovered (SIR) model. The experimental results show that our proposed method is more accurate than several benchmark centrality measures in terms of identifying the influential nodes.     

Characterization of Essential Stability in Lower Pseudocontinuous Optimization Problems

Characterization of essential stability of minimum solutions for a class of optimization problems with boundedness and lower pseudocontinuity on a compact metric space is given. It shows that any optimization problem considered here has one essential component(resp. one essential minimum solution) if and only if its minimum solution set is connected(resp. singleton) and that those optimization problems which have a unique minimum solution form a residual set(however, which need not to be dense).     

思政课视域下高职生道德教育的系统性研究

道德教育是内在的包含道德认知、道德情感、道德信仰和道德行为教育的系统性教育。而目前,学校教育往往片面的注重道德理论的教育,造成道德教育效果不佳。为了提升高职生道德素质,教师应结合高职生的实际状况,充分发挥思政课主导作用,在道德冲突中注重锻造高职生道德观,在人文关怀中培养高职生的道德情感,在道德需要关注中强化高职生道德信仰,在活动参与中实现高职生道德素质的回归。     

A Combinatorial Condition and Boolean Functions with Optimal Algebraic Immunity

This paper first proposes an infinite class of 2k-variable Boolean functions with high nonlinearity and high algebraic degree. Then an infinite class of balanced Boolean functions are proposed by modifying the above Boolean functions. This class of balanced Boolean functions have optimal algebraic degree and high nonlinearity. Both classes have optimal algebraic immunity based on a general combinatorial conjecture.     

算子分裂法求解一类变分不等式问题的收敛率分析

考虑一类变分不等式问题:寻找x~*∈Ω,满足F(x~*)~T(x-x~*)≥0,?x∈Ω,其中Ω是R~n上的闭凸子集,F=f+g是R~n到R~n的连续算子,f和g单调但f的表达式未知.针对此类应用较广的问题,本文研究了一种新的算子分裂法.根据已有的收敛性结果,进一步分析了该方法在非遍历意义下O(1/k)和o(1/k)的次线性收敛率,其中k表示迭代步数.最后,通过数值实验展示了算法的有效性.     

广义混合变分不等式的weak-sharp解及算法的有限收敛

提出广义混合变分不等式问题的解集满足的weak-sharp条件,并通过约束集的支撑函数的一些性质,获得weak-sharp条件的等价刻画.在广义混合变分不等式问题的解集满足weak-sharp条件之下,还获得任意迭代算法有限收敛的等价条件,其中有限收敛指算法在有限次迭代后,得到广义混合变分不等式问题的精确解.最后,以广义混合变分不等式问题的超投影近似点算法为特例,在一定的条件下,获得该算法的有限收敛性.     

END随机变量的完全矩收敛和完全积分收敛

设{X,X_n,n≥1}是同分布的END(extended negatively dependent)随机变量序列,■。研究了完全矩收敛性■在r1,q0, 0p2,a_n=1,b_n=n和■的情况下,与完全积分收敛的一些等价结论。所得结果推广了NA(negatively associated)变量和NOD(negatively orthant dependent)变量的若干相应结果。     

Slc24a5在不同毛色绵羊皮肤中的表达和定位研究

为研究阳离子交换体(solute carrier family 24member 5,Slc24a5)在不同毛色绵羊皮肤中的表达情况,探究其与毛色形成之间的关系采用实时荧光定量PCR(qRT-PCR)技术分析黑色和白色绵羊皮肤中Slc24a5的相对表达量,并运用Western blot和免疫组织化学方法对不同体色绵羊皮肤中Slc24a5蛋白的表达和定位情况进行分析.结果显示:Slc24a5基因在黑色绵羊皮肤组织中的相对表达量是白色绵羊皮肤组织的20.53倍(P0.01);Western blot印迹结果证实绵羊皮肤组织总蛋白中存在分子量约为51kD的蛋白质条带,且黑色绵羊皮肤平均蛋白表达量显著高于白色绵羊(P0.01).免疫组织化学结果显示,Slc24a5在绵羊皮肤毛囊外根鞘和毛基质处均呈阳性表达,且根据光密度值分析显示,Slc24a5在黑色绵羊中的平均蛋白质表达量显著高于白色绵羊.以上研究结果显示Slc24a5可能与绵羊毛色形成具有一定的相关性.