Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Laplacian spectral characterization of some graph products   This paper studies the Laplacian spectral characterization of some graph
products. We consider a class of connected graphs: $\mathscr{G}={G :
|EG|\leq|VG|+1}$, and characterize all graphs $G\in\mathscr{G}$ such that the
products $G\times K_m$ are $L$-DS graphs. The main result of this paper states
that, if $G\in\mathscr{G}$, except for $C_{6}$ and $\Theta_{3,2,5}$, is $L$-DS
graph, so is the product $G\times K_{m}$. In addition, the $L$-cospectral
graphs with $C_{6}\times K_{m}$ and $\Theta_{3,2,5}\times K_{m}$ have been
found.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci