Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Leveraging Diversity for Achieving Resilient Consensus in Sparse
  Networks   A networked system can be made resilient against adversaries and attacks if
the underlying network graph is structurally robust. For instance, to achieve
distributed consensus in the presence of adversaries, the underlying network
graph needs to satisfy certain robustness conditions. A typical approach to
making networks structurally robust is to strategically add extra links between
nodes, which might be prohibitively expensive. In this paper, we propose an
alternative way of improving network's robustness, that is by considering
heterogeneity of nodes. Nodes in a network can be of different types and can
have multiple variants. As a result, different nodes can have disjoint sets of
vulnerabilities, which means that an attacker can only compromise a particular
type of nodes by exploiting a particular vulnerability. We show that, by such a
diversification of nodes, attacker's ability to change the underlying network
structure is significantly reduced. Consequently, even a sparse network with
heterogeneous nodes can exhibit the properties of a structurally robust
network. Using these ideas, we propose a distributed control policy that
utilizes heterogeneity in the network to achieve resilient consensus in
adversarial environment. We extend the notion of $(r,s)$-robustness to
incorporate the diversity of nodes and provide necessary and sufficient
conditions to guarantee resilient distributed consensus in heterogeneous
networks. Finally we study the properties and construction of robust graphs
with heterogeneous nodes.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ