Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of infrastructure networks by neighborhood degree
  distribution   A common way of classifying network connectivity is the association of the
nodal degree distribution to specific probability distribution models. During
the last decades, researchers classified many networks using the Poisson or
Pareto distributions. Urban infrastructures, like transportation (railways,
roads, etc.) and distribution (gas, water, energy, etc.) systems, are peculiar
networks strongly constrained by spatial characteristics of the environment
where they are constructed. Consequently, the nodal degree of such networks
spans very small ranges not allowing a reliable classification using the nodal
degree distribution. In order to overcome this problem, we here (i) define the
neighborhood degree, equal to the sum of the nodal degrees of the nearest
topological neighbors, the adjacent nodes and (ii) propose to use neighborhood
degree to classify infrastructure networks. Such neighborhood degree spans a
wider range of degrees than the standard one allowing inferring the
probabilistic model in a more reliable way, from a statistical standpoint. In
order to test our proposal, we here analyze twenty-two real water distribution
networks, built in different environments, demonstrating that the Poisson
distribution generally models very well their neighborhood degree
distributions. This result seems consistent with the less reliable
classification achievable with the scarce information using the standard nodal
degree distribution.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ