几类图的Signless Laplacian特征多项式  

Signless Laplacian characteristic polynomial on several types of graphs

作　　者：卢世芳[1] 

机构地区：[1]青海大学基础部,青海西宁810016

出　　处：《青海大学学报（自然科学版）》2009年第4期42-44,52,共4页Journal of Qinghai University(Natural Science)

摘　　要：对于一个简单图G,称矩阵Q(G)=D(G)+A(G)是图G的Signless Laplacian矩阵,多项式QG(λ)=det(λI-Q)是图G的特征多项式。本文给出了在完全二部图K2,n-2上两种不同的加边方式所得图类和在C3的一个顶点上悬挂p=n-3条边所得图类的Signless Lapla-cian矩阵特征多项式。For a simple graph G, matrix Q （G） = D（G） ＋ A （G） is its Signless Laplacian matrix and polynomial QG（λ） = det（λI-Q） is its signless Laplacian characteristic polynomial. In this paper, the signless Laplacian eharacferistie polynomials of the graphs obtained through two Kinds of differeut adding - edge ways to the complete bipartite graph K2,n=2 and of the graphs obtained through appending p = n - 3 edgs to a top point of 3 - circle C3 are given out.

关 键 词：图 Signless Laplacian特征多项式 完全二部图 3-圈 

分 类 号：O157.5[理学—数学]