| 姜琴,王红勇.偶数阶Unitary Cayley图的零化度[J].南华大学学报(自然科学版),2014,28(3):73~75.[JIANG Qin,WANG Hong-yong.On the Nullity of Even-Order Unitary Cayley Graphs[J].Journal of University of South China(Science and Technology),2014,28(3):73~75.] |
| 偶数阶Unitary Cayley图的零化度 |
| On the Nullity of Even-Order Unitary Cayley Graphs |
| 投稿时间：2014-06-05 |
| DOI： |
| 中文关键词: Unitary Cayley图 零化度 谱 |
| 英文关键词:Unitary Cayley graph nullity spectrum |
| 基金项目:湖南省自然科学基金资助项目(14JJ6020);衡阳市科技局基金资助项目(2011KJ4;2013KJ20) |
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| 中文摘要: |
| n阶Unitary Cayley图的顶点集是Zn={0,1,…,n-1},若顶点a与b满足gcd(a-b,n)=1,则顶点a与b不相邻.本文通过偶数阶Unitary Cayley图的邻接矩阵的元素排列规律,应用数学归纳法和数论中的一些常用等式,得到了偶数阶Unitary Cayley图的零化度. |
| 英文摘要: |
| The Unitary Cayley graph of order n has vertex set Zn={0,1,…,n-1}.Vertices a,b are adjacent,if gcd(a-b,n)=1,otherwise,a,b are nonadjacent.The nullity of Unitary Cayley graph with order even is obtained by mathematical induction and some well-known equations in number theory. |
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