Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Friendship networks and social status   In empirical studies of friendship networks participants are typically asked,
in interviews or questionnaires, to identify some or all of their close
friends, resulting in a directed network in which friendships can, and often
do, run in only one direction between a pair of individuals. Here we analyze a
large collection of such networks representing friendships among students at US
high and junior-high schools and show that the pattern of unreciprocated
friendships is far from random. In every network, without exception, we find
that there exists a ranking of participants, from low to high, such that almost
all unreciprocated friendships consist of a lower-ranked individual claiming
friendship with a higher-ranked one. We present a maximum-likelihood method for
deducing such rankings from observed network data and conjecture that the
rankings produced reflect a measure of social status. We note in particular
that reciprocated and unreciprocated friendships obey different statistics,
suggesting different formation processes, and that rankings are correlated with
other characteristics of the participants that are traditionally associated
with status, such as age and overall popularity as measured by total number of
friends.

14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph