Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riordan graphs II: Spectral properties   The authors of this paper have used the theory of Riordan matrices to
introduce the notion of a Riordan graph in \cite{CJKM}. Riordan graphs are
proved to have a number of interesting (fractal) properties, and they are a
far-reaching generalization of the well known and well studied Pascal graphs
and Toeplitz graphs, and also some other families of graphs. The main focus in
\cite{CJKM} is the study of structural properties of families of Riordan graphs
obtained from certain infinite Riordan graphs.
  In this paper, we use a number of results in~\cite{CJKM} to study spectral
properties of Riordan graphs. Our studies include, but are not limited to the
spectral graph invariants for Riordan graphs such as the adjacency eigenvalues,
(signless) Laplacian eigenvalues, nullity, positive and negative inertias, and
rank. We also study determinants of Riordan graphs, in particular, giving
results about determinants of Catalan graphs.

36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga