Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random Abstract Simplicial Complexes Reduction   Random abstract simplicial complex representation provides a mathematical
description of wireless networks and their topology. In order to reduce the
energy consumption in this type of network, we intend to reduce the number of
network nodes without modifying neither the connectivity nor the coverage of
the network. In this paper, we present a reduction algorithm that lower the
number of points of an abstract simplicial complex in an optimal order while
maintaining its topology. Then, we study the complexity of such an algorithm
for a network simulated by a binomial point process and represented by a
Vietoris-Rips complex.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con