Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How beta-skeletons lose their edges   A {\beta}-skeleton is a proximity graphs with node neighbourhood defined by
continuous-valued parameter {\beta}. Two nodes in a {\beta}-skeleton are
connected by an edge if their lune-based neighbourhood contains no other nodes.
With increase of {\beta} some edges a skeleton are disappear. We study how a
number of edges in {\beta}-skeleton depends on {\beta}. We speculate how this
dependence can be used to discriminate between random and non-random planar
sets. We also analyse stability of {\beta}-skeletons and their sensitivity to
perturbations.

8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol