11 research outputs found
Asymptotic Laplacian-Energy-Like Invariant of Lattices
Let denote the Laplacian eigenvalues of
with vertices. The Laplacian-energy-like invariant, denoted by , is a novel topological index. In this paper, we
show that the Laplacian-energy-like per vertex of various lattices is
independent of the toroidal, cylindrical, and free boundary conditions.
Simultaneously, the explicit asymptotic values of the Laplacian-energy-like in
these lattices are obtained. Moreover, our approach implies that in general the
Laplacian-energy-like per vertex of other lattices is independent of the
boundary conditions.Comment: 6 pages, 2 figure