出版社：The Editorial Committee of the Interdisciplinary Information Sciences
摘要：In this paper, the spectrum of the Neumann Laplacian for a graph with boundary is studied. Two comparison theorems of the Neumann Laplacian for a graph are shown. Namely, the optimal upper and lower bounds of the first eigenvalue of the Neumann boundary problem of the combinatorial Laplacian for a graph with boundary are given.
关键词：graph with boundary;combinatorial Laplacian;Neumann Laplacian
