Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A spatial small-world graph arising from activity-based reinforcement   In the classical preferential attachment model, links form instantly to newly
arriving nodes and do not change over time. We propose a hierarchical random
graph model in a spatial setting, where such a time-variability arises from an
activity-based reinforcement mechanism. We show that the reinforcement
mechanism converges, and prove rigorously that the resulting random graph
exhibits the small-world property. A further motivation for this random graph
stems from modeling synaptic plasticity.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess