Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic quantization of exponential random graphs   We describe the asymptotic properties of the edge-triangle exponential random
graph model as the natural parameters diverge along straight lines. We show
that as we continuously vary the slopes of these lines, a typical graph drawn
from this model exhibits quantized behavior, jumping from one complete
multipartite graph to another, and the jumps happen precisely at the normal
lines of a polyhedral set with infinitely many facets. As a result, we provide
a complete description of all asymptotic extremal behaviors of the model.

26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat