Peer-to-peer （P2P） networks aggregate enormous storage and processing resources while mini- mizing entry and scaling costs. Gnutella-like P2P networks are complex heterogeneous networks, in which the underlying oved...Peer-to-peer （P2P） networks aggregate enormous storage and processing resources while mini- mizing entry and scaling costs. Gnutella-like P2P networks are complex heterogeneous networks, in which the underlying oveday topology has a power-law node degree distribution. While scale-free networks have great robustness against random failures, they are vulnerable to deliberate attacks where highly connected nodes are eliminated. Since high degree nodes play an important role in maintaining the connectivity, this paper presents an algorithm based on random walks to locate high degree nodes in P2P networks. Simula- tions demonstrate that the algorithm performs well in various scenarios and that heterogeneous P2P net- works are very sensitive to deliberate attacks.展开更多
In this paper we consider the standard Poisson Boolean model of random geometric graphs G（Hλ,s; 1） in Rd and study the properties of the order of the largest component L1 （G（Hλ,s; 1）） . We prove that ElL1 （G...In this paper we consider the standard Poisson Boolean model of random geometric graphs G（Hλ,s; 1） in Rd and study the properties of the order of the largest component L1 （G（Hλ,s; 1）） . We prove that ElL1 （G（Hλ,s; 1））] is smooth with respect to A, and is derivable with respect to s. Also, we give the expression of these derivatives. These studies provide some new methods for the theory of the largest component of finite random geometric graphs （not asymptotic graphs as s - co） in the high dimensional space （d 〉 2）. Moreover, we investigate the convergence rate of E[L1（G（Hλ,s; 1））]. These results have significance for theory development of random geometric graphs and its practical application. Using our theories, we construct and solve a new optimal energy-efficient topology control model of wireless sensor networks, which has the significance of theoretical foundation and guidance for the design of network layout.展开更多
随着电力系统、交通系统、通信系统等基础设施网络的广泛使用,提高复杂网络的鲁棒性具有重要意义。重连机制是一种高效且简洁的方法,常用于提高网络的鲁棒性。基于0阶零模型的重连机制通过对边的随机删除和创建操作来提高网络的鲁棒性,...随着电力系统、交通系统、通信系统等基础设施网络的广泛使用,提高复杂网络的鲁棒性具有重要意义。重连机制是一种高效且简洁的方法,常用于提高网络的鲁棒性。基于0阶零模型的重连机制通过对边的随机删除和创建操作来提高网络的鲁棒性,其尽管保持了网络的边数,但会引起节点的度值发生变化,如基于香农熵的重连算法;基于1阶零模型的重连机制通过随机选择两条边进行换边操作来提高网络的鲁棒性,其尽管保持了网络的度分布,但随机选边难以准确找到合适的节点,增加了算法的时间成本,如基于最大连通分支的重连算法。因此,为了保持网络的度分布且快速提高网络的鲁棒性,提出了一种基于1阶零模型的快速重连算法(Fast Rewiring Mechanism based on 1-order Null Model,FRM)。FRM算法通过比较每条边的两个端点度值的差异为边加权,根据边的权重优先选择权重较大的两条边,并创建度值相似节点之间的连边来提高网络的鲁棒性。在3个真实网络数据上与4种代表性重连算法相比,对比实验结果表明,FRM算法在度中心性、介数中心性和Page-Rank中心性攻击下最大连通分支中的节点比例s(Q)、基于最大连通分支的鲁棒性指标R和基于香农熵的鲁棒性指标I(G)的表现都更好。展开更多
基金Supported by the National Natural Science Foundation of China (Nos. 60672107, 60674048, 60603068, and 60772053)the National High-Tech Research and Development (863) Program of China (No.2006AA10Z261)the National Key Basic Research and Development (973) Program of China (No. 2007CB307105)
文摘Peer-to-peer （P2P） networks aggregate enormous storage and processing resources while mini- mizing entry and scaling costs. Gnutella-like P2P networks are complex heterogeneous networks, in which the underlying oveday topology has a power-law node degree distribution. While scale-free networks have great robustness against random failures, they are vulnerable to deliberate attacks where highly connected nodes are eliminated. Since high degree nodes play an important role in maintaining the connectivity, this paper presents an algorithm based on random walks to locate high degree nodes in P2P networks. Simula- tions demonstrate that the algorithm performs well in various scenarios and that heterogeneous P2P net- works are very sensitive to deliberate attacks.
基金supported by Knowledge Innovation Program of the Chinese Academy of Sciences(Grant No. kjcx-yw-s7)the National Natural Science Foundation of China(No.10831006)
文摘In this paper we consider the standard Poisson Boolean model of random geometric graphs G（Hλ,s; 1） in Rd and study the properties of the order of the largest component L1 （G（Hλ,s; 1）） . We prove that ElL1 （G（Hλ,s; 1））] is smooth with respect to A, and is derivable with respect to s. Also, we give the expression of these derivatives. These studies provide some new methods for the theory of the largest component of finite random geometric graphs （not asymptotic graphs as s - co） in the high dimensional space （d 〉 2）. Moreover, we investigate the convergence rate of E[L1（G（Hλ,s; 1））]. These results have significance for theory development of random geometric graphs and its practical application. Using our theories, we construct and solve a new optimal energy-efficient topology control model of wireless sensor networks, which has the significance of theoretical foundation and guidance for the design of network layout.
文摘随着电力系统、交通系统、通信系统等基础设施网络的广泛使用,提高复杂网络的鲁棒性具有重要意义。重连机制是一种高效且简洁的方法,常用于提高网络的鲁棒性。基于0阶零模型的重连机制通过对边的随机删除和创建操作来提高网络的鲁棒性,其尽管保持了网络的边数,但会引起节点的度值发生变化,如基于香农熵的重连算法;基于1阶零模型的重连机制通过随机选择两条边进行换边操作来提高网络的鲁棒性,其尽管保持了网络的度分布,但随机选边难以准确找到合适的节点,增加了算法的时间成本,如基于最大连通分支的重连算法。因此,为了保持网络的度分布且快速提高网络的鲁棒性,提出了一种基于1阶零模型的快速重连算法(Fast Rewiring Mechanism based on 1-order Null Model,FRM)。FRM算法通过比较每条边的两个端点度值的差异为边加权,根据边的权重优先选择权重较大的两条边,并创建度值相似节点之间的连边来提高网络的鲁棒性。在3个真实网络数据上与4种代表性重连算法相比,对比实验结果表明,FRM算法在度中心性、介数中心性和Page-Rank中心性攻击下最大连通分支中的节点比例s(Q)、基于最大连通分支的鲁棒性指标R和基于香农熵的鲁棒性指标I(G)的表现都更好。
