Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cluster Assignment in Multi-Agent Systems   We study cluster assignment in multi-agent networks. We consider homogeneous
diffusive networks, and focus on design of the graph that ensures the system
will converge to a prescribed cluster configuration, i.e., specifying the
number of clusters and agents within each cluster. Leveraging recent results
from cluster synthesis, we show that it is possible to design an oriented graph
such that the action of the automorphism group of the graph has orbits of
predetermined sizes, guaranteeing that the network will converge to the
prescribed cluster configuration. We provide upper and lower bounds on the
number of edges that are needed to construct these graphs along with a
constructive approach for generating these graphs. We support our analysis with
some numerical examples.

8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex