社交网络中求最小正影响支配集的改进算法

麦飞, 陈卫东

麦飞, 陈卫东. 社交网络中求最小正影响支配集的改进算法[J]. 华南师范大学学报(自然科学版), 2016, 48(3): 59-63. DOI: 10.6054/j.jscnun.2016.05.004
引用本文: 麦飞, 陈卫东. 社交网络中求最小正影响支配集的改进算法[J]. 华南师范大学学报(自然科学版), 2016, 48(3): 59-63. DOI: 10.6054/j.jscnun.2016.05.004
MAI Fei, CHEN Weidong*. An Improved Algorithm for Finding Minimum Positive Influence Dominating Sets in Social Networks[J]. Journal of South China Normal University (Natural Science Edition), 2016, 48(3): 59-63. DOI: 10.6054/j.jscnun.2016.05.004
Citation: MAI Fei, CHEN Weidong*. An Improved Algorithm for Finding Minimum Positive Influence Dominating Sets in Social Networks[J]. Journal of South China Normal University (Natural Science Edition), 2016, 48(3): 59-63. DOI: 10.6054/j.jscnun.2016.05.004

社交网络中求最小正影响支配集的改进算法

基金项目: 

国家自然科学基金项目(61370003);教育部留学回国人员科研启动基金项目(第47批)

详细信息
    作者简介:

    陈卫东,教授,Email:chenwd@scnu.edu.cn.

    通讯作者:

    陈卫东,教授,Email:chenwd@scnu.edu.cn.

  • 中图分类号: TP301

An Improved Algorithm for Finding Minimum Positive Influence Dominating Sets in Social Networks

  • 摘要: 网络中求解最小正影响支配集的问题已经被证明是NP难问题,且已有性能较好的贪心求解算法.通过分析现有的贪心近似算法(Wang-Greedy)和贪心启发式算法(Raei-Greedy),融合其贪心策略,提出了1个改进的贪心近似算法(Hybrid-Greedy).理论分析表明,Hybrid-Greedy仍保持Wang-Greedy的近似比性能和时间复杂度.在一些较大规模的真实社交网络实例中的实验研究表明,Hybrid-Greedy在这些社交网络中所得解的质量较Wang-Greedy和Raei-Greedy有明显提高.
    Abstract: The problem of finding the minimum positive influence dominating set in a given network has been proved to be NP-hard, and there are greedy algorithms with good performance to solve it. An existing greedy approximation algorithm (Wang-Greedy) and a heuristic algorithm (Raei-Greedy) are analyzed. Accordingly, an improved greedy approximation algorithm (Hybrid-Greedy) to find the minimum positive influence dominating sets in social networks is proposed. It is shown theoretically that hybrid-Greedy remains the same approximation ratio and time complexity as Wang-Greedy. Experimental results on some large real-world social network instances show that Hybrid-Greedy yields better solutions than Wang-Greedy and Raei-Greedy for these social network instances.
  • 期刊类型引用(1)

    1. 万科. 社交网络中正影响支配集问题的轮转贪心算法. 计算机与现代化. 2020(09): 49-53+59 . 百度学术

    其他类型引用(3)

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出版历程
  • 收稿日期:  2016-04-19
  • 刊出日期:  2016-05-24

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