%0 Journal Article
%T On the Primitive Exponent Set of Symmetric Infinite BooleanMatrics<br>对称无限布尔方阵的本原指数集的刻划
%A LI Xiuqing
%A <br>李修清
%J 系统科学与数学
%D 2008
%I 
%X Symmetric infinite Boolean matrices are considered.Firstly a sufficient and necessary condition is given for symmetric infinite Boolean matrices to become primitive matri- ces.Then it is shown that the lease upper bound of the primitive exponent set of the symmetric infinite Boolean matrices with diameter d is 2d.Finally it is proven that the primitive exponent set of symmetric infinite Boolean matrices with diameter no more than d is E_d={1,2,...,2d}.
%K Symmetric infinite Boolean matrices
%K primitive exponent
%K primitive graph
%K diameter<br>对称无限布尔方阵
%K 本原指数
%K 本原图
%K 直径
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=CA2B6B3A4347848B9CA99120487492FA&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=59906B3B2830C2C5&sid=9F9D3173F7EC760A&eid=44B95CDA8EBD6F56&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=1&reference_num=7