Abstract

AbstractIn order to investigate the routing aspects of small-world networks, Kleinberg [13] proposes a network model based on a d-dimensional lattice with long-range links chosen at random according to the d-harmonic distribution. Kleinberg shows that the greedy routing algorithm by using only local information performs in O(log2 n) expected number of hops, where n denotes the number of nodes in the network. Martel and Nguyen [17] have found that the expected diameter of Kleinberg’s small-world networks is Θ(log n). Thus a question arises naturally: Can we improve the routing algorithms to match the diameter of the networks while keeping the amount of information stored on each node as small as possible?KeywordsShort PathTarget NodeSmall WorldCurrent NodeLocal LinkThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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