Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectra of random networks in the weak clustering regime   The asymptotic behaviour of dynamical processes in networks can be expressed
as a function of spectral properties of the corresponding adjacency and
Laplacian matrices. Although many theoretical results are known for the spectra
of traditional configuration models, networks generated through these models
fail to describe many topological features of real-world networks, in
particular non-null values of the clustering coefficient. Here we study effects
of cycles of order three (triangles) in network spectra. By using recent
advances in random matrix theory, we determine the spectral distribution of the
network adjacency matrix as a function of the average number of triangles
attached to each node for networks without modular structure and degree-degree
correlations. Implications to network dynamics are discussed. Our findings can
shed light in the study of how particular kinds of subgraphs influence network
dynamics.

20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat