Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On excitable beta-skeletons   A beta-skeleton is a planar proximity undirected graph of an Euclidean point
set where nodes are connected by an edge if their lune-based neighborhood
contains no other points of the given set. Parameter $\beta$ determines size
and shape of the nodes' neighborhoods. In an excitable beta-skeleton every node
takes three states --- resting, excited and refractory, and updates its state
in discrete time depending on states of its neighbors. We design families of
beta-skeletons with absolute and relative thresholds of excitability and
demonstrate that several distinct classes of space-time excitation dynamics can
be selected using beta. The classes include spiral and target waves of
excitation, branching domains of excitation and oscillating localizations.

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The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat