Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distributed Monitoring of Topological Events via Homology   Topological event detection allows for the distributed computation of
homology by focusing on local changes occurring in a network over time. In this
paper, a model for the monitoring of topological events in dynamically changing
regions will be developed. Regions are approximated as the connected components
of the communication graph of a sensor network, reducing homology computation
to graph homology. Betti number differences together with cyclic neighbor-rings
are used to categorize topological event types. The focus lies on the correct
detection of non-incremental (i.e., multiple concurrently occurring) events and
the necessary region update process. Network number differences between a
network's state before and after events are spread from event nodes into
network regions, allowing for the conflict-free updating of regions independent
of the update messages' order of arrival.

35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom