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31.
Almost all natural, social and man-made-engineered systems can be represented by a complex network to describe their dynamic behaviors. To make a real-world complex network controllable with its desired topology, the study on network controllability has been one of the most critical and attractive subjects for both network and control communities. In this paper, based on a given directed–weighted network with both state and control nodes, a novel optimization tool with extremal dynamics to generate an optimal network topology with minimum control nodes and complete controllability under Kalman’s rank condition has been developed. The experimental results on a number of popular benchmark networks show the proposed tool is effective to identify the minimum control nodes which are sufficient to guide the whole network’s dynamics and provide the evolution of network topology during the optimization process. We also find the conclusion: “the sparse networks need more control nodes than the dense, and the homogeneous networks need fewer control nodes compared to the heterogeneous” (Liu et al., 2011 [18]), is also applicable to network complete controllability. These findings help us to understand the network dynamics and make a real-world network under the desired control. Moreover, compared with the relevant research results on structural controllability with minimum driver nodes, the proposed solution methodology may also be applied to other constrained network optimization problems beyond complete controllability with minimum control nodes. 相似文献
32.
A lambda in a graph G is two edges uv and vw such that uw is not an edge. A subgraph A of G is called a lambda-subgraph if every lambda of G has both or neither of its edges in A. We describe the decomposition of a graph into its lambda subgraphs and use this to prove a decomposition theorem of Gallai (Acta Math. Acad. Sci. Hungar. 18 (1967), 25–66). A corollary is that a graph is perfect if and only if each of its edge-minimal lambda subgraphs is. © 1997 John Wiley & Sons, Inc. J Graph Theory 26:9–16, 1997 相似文献
33.
34.
高质量点集的快速局部网格生成算法 总被引:1,自引:0,他引:1
高效及高质量的局部网格生成算法是基于节点有限元并行方法设计的关键。泡泡布点算法能够在复杂区域上不经过人工干预生成高质量的节点集,本文提出了基于该方法所生成的节点集的快速局部网格生成算法。该算法充分利用泡泡布点方法提供的节点集及节点邻接链表信息,避免了桶数据结构的建立以及节点的局部搜索过程,只需应用Delaunay三角剖分的外接圆准则从中心节点的邻接链表中去除极少数的非卫星点,可快速地生成局部网格,比现有的局部网格生成算法更为快捷。算例结果表明,该算法高效可靠,生成网格与Delaunay三角剖分网格一致。 相似文献
35.
An extended improved global structure model for influential node identification in complex networks 下载免费PDF全文
Jing-Cheng Zhu 《中国物理 B》2022,31(6):68904-068904
Accurate identification of influential nodes facilitates the control of rumor propagation and interrupts the spread of computer viruses. Many classical approaches have been proposed by researchers regarding different aspects. To explore the impact of location information in depth, this paper proposes an improved global structure model to characterize the influence of nodes. The method considers both the node's self-information and the role of the location information of neighboring nodes. First, degree centrality of each node is calculated, and then degree value of each node is used to represent self-influence, and degree values of the neighbor layer nodes are divided by the power of the path length, which is path attenuation used to represent global influence. Finally, an extended improved global structure model that considers the nearest neighbor information after combining self-influence and global influence is proposed to identify influential nodes. In this paper, the propagation process of a real network is obtained by simulation with the SIR model, and the effectiveness of the proposed method is verified from two aspects of discrimination and accuracy. The experimental results show that the proposed method is more accurate in identifying influential nodes than other comparative methods with multiple networks. 相似文献
36.
In this paper we, firstly, classify the complex networks in which the nodes
are of the lifetime distribution. Secondly, in order to study complex networks
in terms of queuing system and homogeneous Markov chain, we
establish the relation between the complex networks and queuing system,
providing a new way of studying complex networks. Thirdly, we prove that there
exist stationary degree distributions of M--G--P network, and obtain the
analytic expression of the distribution by means of Markov chain theory. We
also obtain the average path length and clustering coefficient of the
network. The results show that M--G--P network is not only scale-free but also
of a small-world feature in proper conditions. 相似文献
37.
针对具有随机节点结构的复杂网络, 研究其同步问题. 基于Lyapunov稳定性理论和线性矩阵不等式技术给出了复杂网络同步稳定的充分性条件, 该充分性条件不仅与复杂网络的状态时延有关, 还与节点结构的概率分布有关. 数值仿真表明本文方法的有效性.
关键词:
复杂网络
随机节点
同步稳定
时滞 相似文献
38.
量子纠缠是一种重要的量子资源,在多个空间分离的量子存储器间建立确定性的量子纠缠,然后在用户控制的时刻将所存储的量子纠缠转移到量子信道中进行信息的分发和传送,这对于实现量子信息网络是至关重要的.本文介绍了用光学参量放大器制备与铷原子D1吸收线对应的非经典光场,而且在三个空间分离的原子系综中确定性量子纠缠的产生、存储和转移.利用电磁感应透明光和原子相互作用的原理,将制备的多组分光场纠缠态模式映射到三个远距离的原子系综以建立原子自旋波之间的纠缠.然后,存储在原子系综中的纠缠态通过三个量子通道,纠缠态的量子噪声被转移到三束空间分离的正交纠缠光场.三束释放的光场间纠缠的存在验证了该系统具有保持多组分纠缠的能力.这个方案实现了三个量子节点间的纠缠,并且可以直接扩展到具有更多节点的量子网络,为未来实现大型量子网络通信奠定了基础. 相似文献
39.
We review some recent work on the synchronization of coupled dynamical systems on a variety of networks. When nodes show synchronized
behaviour, two interesting phenomena can be observed. First, there are some nodes of the floating type that show intermittent
behaviour between getting attached to some clusters and evolving independently. Secondly, two different ways of cluster formation
can be identified, namely self-organized clusters which have mostly intra-cluster couplings and driven clusters which have
mostly inter-cluster couplings. 相似文献
40.