4 papers
Ordering -indices of graphs: given size and girth
Yarong Hu, Zhenzhen Lou, Qiongxiang Huang
The signless Laplacian matrix in graph spectra theory is a remarkable matrix of graphs, and it is extensively studied by researchers. In 1981, Cvetković pointed directions in…
Maxima of the -index: Graphs with no -minor
Yanting Zhang, Zhenzhen Lou
A graph is said to be \textit{-minor free} if it does not contain as a minor. In this paper, we characteristic the unique extremal graph with maximal -index among all …
Well-posedness of Navier-Stokes equations established by the decaying speed of single norm
Qixiang Yang, Huoxiong Wu, Jianxun He +1
The decaying speed of a single norm more truly reflects the intrinsic harmonic analysis structure of the solution of the classical incompressible Navier-Stokes equations. No previo…
Mixed graphs with smallest eigenvalue greater than
Lu Lu, ZhenZhen Lou
The classical problem of characterizing the graphs with bounded eigenvalues may date back to the work of Smith in 1970. Especially, the research on graphs with smallest eigenvalues…