Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898004 | Linear Algebra and its Applications | 2018 | 9 Pages |
Abstract
Let G and H be two simple graphs. In this paper, the characteristic polynomial of G[H], the lexicographic product of G and H, is determined. As an application, the characteristic polynomial and the spectrum of G[H] are obtained explicitly when H has exactly one or two main eigenvalues.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zhijun Wang, Dein Wong,