一些双联运算图的规范拉普拉斯谱

On the Normalized Laplacian Spectra of some Double Join Operations of Graphs

中文关键词:  规范拉普拉斯矩阵  规范拉普拉斯谱  双联运算  正则图

英文关键词:normalized Laplacian matrix  normalized Laplacian spectrum  double join operations  regular graph

中文摘要:

      研究了基于剖分图、Q-图、R-图和全图的双联运算图的四类变型,给出了它们的规范拉普拉斯谱.所得结果推广了关于图的联运算的一些已有结果.

英文摘要:

      This paper is concerned with the normalized Laplacian spectra of four variants of double join operations based on subdivision graph, $Q$-graph, $R$-graph and total graph. The results here generalize some well known results about some join operations of graphs.