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Searching Efficiency On Complex Networks Under Visual Range Of Nodes

Author

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  • BIN LIU

    (College of Information Systems and Management, National University of Defense Technology, Changsha, Hunan Province, P. R. China)

  • HONGZHONG DENG

    (College of Information Systems and Management, National University of Defense Technology, Changsha, Hunan Province, P. R. China)

  • XIAOYUE WU

    (College of Information Systems and Management, National University of Defense Technology, Changsha, Hunan Province, P. R. China)

Abstract

We study the searching efficiency of complex networks considering node's visual range within which a node can see its neighbors and knows the topology. We firstly introduce the network generating models and searching strategies. Using the generating function method, in both random networks and scale-free networks we derive the most-effective-visual-range (MEVR) which means every step of random walkers can find most of new nodes and we also obtain the searching-cost (SC) under visual range. To validate the generating function method, we perform simulations in random networks and scale-free networks. We also explain why the deviation between numerical simulation and theoretical prediction in scale-free networks is much larger than that in random networks. By studying the visual range of nodes in the networks, the results open the possibility to learn about the searching on networks with unknown topologies.

Suggested Citation

  • Bin Liu & Hongzhong Deng & Xiaoyue Wu, 2012. "Searching Efficiency On Complex Networks Under Visual Range Of Nodes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 23(01), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:23:y:2012:i:01:n:s0129183111017032
    DOI: 10.1142/S0129183111017032
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    References listed on IDEAS

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    1. Dorogovtsev, S.N. & Mendes, J.F.F., 2003. "Evolution of Networks: From Biological Nets to the Internet and WWW," OUP Catalogue, Oxford University Press, number 9780198515906.
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