On the Cycles of Boolean Networks

摘要：

Using semi-tensor product, the Boolean network is converted into its algebraic form as a standard discrete-time linear system. From the rank and 1-eigenvector of structure matrix, we obtain the cycle structure of the Boolean network, such as the cycles and the number of the cycles with different length. In this paper, we just use the rank and 1-eigenvector of structure matrix to obtain the results, while in literature the different powers of structure matrix are used.

关键词： Boolean network Cycles Structure matrix Boolean matrix 1-eigenvector

作者: Zhiqiang Li Jinli Song Huimin Xiao

作者单位: Department of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450002

会议类型: 国际会议

会议名称: The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)

会议地点: 太原

会议语种:英文

页码: 770-774

在线出版日期: 2012-05-23（万方平台首次上网日期，不代表论文的发表时间）