基于点权有限的有向加权网络模型

计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (26): 89-92.

基于点权有限的有向加权网络模型

周健1，管玉梅2，王桂英2

1.合肥工业大学信息与网络中心，合肥 230009
2.合肥工业大学计算机与信息学院，合肥 230009

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-09-11 发布日期:2011-09-11

Directed model for weighted networks based on limited node strength

ZHOU Jian1，GUAN Yumei2，WANG Guiying2

1.Information and Network Center，Hefei University of Technology，Hefei 230009，China
2.College of Computer and Information，Hefei University of Technology，Hefei 230009，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-09-11 Published:2011-09-11

摘要/Abstract

摘要： 在某些实际问题中，网络中节点的权重具有方向性。因此，在BBV模型和点权有限加权网络模型（LBBV）的基础上，提出了一个基于点权有限的有向加权网络模型。该模型着重考虑了加权网络节点强度的有限性和节点权重的有向性，使之具有更广泛的实际背景和应用范围。通过理论分析，当[Si>2mw0]，[So>2mw0]时，网络可以一直演化下去，并且该模型节点的出入度分布及节点的出入强度分布均服从幂律指数为2~3的幂律分布。仿真结果验证了理论分析的正确性。

关键词: BBV模型, 点权有限, 有向性, 节点出强度, 节点入强度, 节点的出度, 节点的入度, ,

Abstract: For some practical applications，there exist some networks with directional weights at nodes.Based on the BBV model and the LBBV model，this paper presents a directed model for weighted networks based on limited node strength.The model mainly considers the limited node strength and directional weights at nodes，which make the improved model with a wide range of practical backgrounds and scope of application.According to the theoretical analysis，when the limited strength [Si>2mw0]，[So>2mw0]，the network will work.Out-strength distribution and in-strength distribution of nodes，in-degree distribution and out-degree distribution of nodes express the exponent of power-law，which can be adjusted between 2 to 3.The analytical expression is in good agreement with the numerical calculations.

Key words: BBV model, limited node strength, the directed, out-strength, in-strength, in-degree, out-degree

周健1，管玉梅2，王桂英2. 基于点权有限的有向加权网络模型[J]. 计算机工程与应用, 2011, 47(26): 89-92.

ZHOU Jian1，GUAN Yumei2，WANG Guiying2. Directed model for weighted networks based on limited node strength[J]. Computer Engineering and Applications, 2011, 47(26): 89-92.