一类具有全实Laplacian谱的有向图  

A class of digraphs which have completely real Laplacian spectra

作　　者：苏莉[1] 李红海[1] 

机构地区：[1]江西师范大学数信学院,江西南昌330022

出　　处：《浙江大学学报（理学版）》2011年第6期614-619,共6页Journal of Zhejiang University（Science Edition）

基　　金：国家自然科学基金资助项目(No.11026143);江西省自然科学基金资助项目(No.2010GQS0095);江西师范大学青年成长基金资助项目(No.2711)

摘　　要：分别研究了一类带有Hamiltonian路和带有Hamiltonian圈的有向图的基本有圈性(essential cyclicity),给出了这种有向图的Laplacian谱,表明这些图具有全实的Laplacian谱.The essential cyclicity of the digraphs with a Hamiltonian path and a Hamiltonian cycle respectively have been investigated and their Laplacian spectra was also fully presented,which imply that the digraphs have completely real Laplacian spectrum.

关 键 词：有向图 LAPLACIAN 特征值 

分 类 号：O157.5[理学—数学]