树是连通的无圈图,研究树的拉普拉斯矩阵具有重要的图论和实际意义.设G是一个有n个点和m个边的图,A(G)和D(G)分别是图G的邻接矩阵和对角度矩阵,那么G的拉普拉斯矩阵定义为L(G)=D(G)-A(G).LI矩阵定义为LI(G)=L(G)-(2m/n)I_(n),其中I_(n)...树是连通的无圈图,研究树的拉普拉斯矩阵具有重要的图论和实际意义.设G是一个有n个点和m个边的图,A(G)和D(G)分别是图G的邻接矩阵和对角度矩阵,那么G的拉普拉斯矩阵定义为L(G)=D(G)-A(G).LI矩阵定义为LI(G)=L(G)-(2m/n)I_(n),其中I_(n)是单位矩阵.图的LI矩阵的Ky Fan k-范数代表了拉普拉斯特征值和拉普拉斯特征值平均值之间距离的有序和.研究了双星图的LI矩阵的Ky Fan k-范数,证明了双星图的LI矩阵的Ky Fan k-范数满足文献[6]中提出的猜想.展开更多
Li Shan was born in an eminent family in the region of Jianghuai and began his artistic career from sketch.At the beginning he was affected by Changzhou School,then he learned the art of painting under the tutelage of...Li Shan was born in an eminent family in the region of Jianghuai and began his artistic career from sketch.At the beginning he was affected by Changzhou School,then he learned the art of painting under the tutelage of Shi Tao.Although laying stress on learning from his own master and sticking to the established norm,he learned extensively from other schools and broke through traditions.He blazed new trails and changed his style of painting with the development of times,thus formed a special one of his own.His poems were humorous and expressive,his calligraphies full of power and grandeur,his seals simple and vigorous and his paintings close to nature.He combined all these means of art to express himself.And he established a new school and exerted a significant influence on the later generations.展开更多
文摘树是连通的无圈图,研究树的拉普拉斯矩阵具有重要的图论和实际意义.设G是一个有n个点和m个边的图,A(G)和D(G)分别是图G的邻接矩阵和对角度矩阵,那么G的拉普拉斯矩阵定义为L(G)=D(G)-A(G).LI矩阵定义为LI(G)=L(G)-(2m/n)I_(n),其中I_(n)是单位矩阵.图的LI矩阵的Ky Fan k-范数代表了拉普拉斯特征值和拉普拉斯特征值平均值之间距离的有序和.研究了双星图的LI矩阵的Ky Fan k-范数,证明了双星图的LI矩阵的Ky Fan k-范数满足文献[6]中提出的猜想.
文摘Li Shan was born in an eminent family in the region of Jianghuai and began his artistic career from sketch.At the beginning he was affected by Changzhou School,then he learned the art of painting under the tutelage of Shi Tao.Although laying stress on learning from his own master and sticking to the established norm,he learned extensively from other schools and broke through traditions.He blazed new trails and changed his style of painting with the development of times,thus formed a special one of his own.His poems were humorous and expressive,his calligraphies full of power and grandeur,his seals simple and vigorous and his paintings close to nature.He combined all these means of art to express himself.And he established a new school and exerted a significant influence on the later generations.
