6 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
Comparisons of Dirichlet, Neumann and Laplacian eigenvalues on graphs and their applications
Yongjie Shi, Chengjie Yu
In this paper, we obtain some comparisons of the Dirichlet, Neumann and Laplacian eigenvalues on graphs. We also discuss their rigidities and some of their applications including s…
A Lichnerowicz-type estimate for Steklov eigenvalues on graphs and its rigidity
Yongjie Shi, Chengjie Yu
In this paper, we obtain a Lichnerowicz-type estimate for the first Steklov eigenvalues on graphs and discuss its rigidity.
Comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs
Yongjie Shi, Chengjie Yu
In this paper, we obtain a comparison of Steklov eigenvalues and Laplacian eigenvalues on graphs and discuss its rigidity. As applications of the comparison of eigenvalues, we obta…
Uniqueness of exterior differentiation on locally finite graphs
Yongjie Shi, Chengjie Yu
In this short note, we prove the uniqueness of exterior differentiation on locally finite graphs.
Rigidity of a trace estimate for Steklov eigenvalues
Yongjie Shi, Chengjie Yu
In this short note, we show the rigidity of a trace estimate for Steklov eigenvalues with respect to functions in our previous work (Trace and inverse trace of Steklov eigenvalues.…