Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Localization of the Personalized PageRank of Complex Networks   In this paper new results on personalized PageRank are shown. We consider
directed graphs that may contain dangling nodes. The main result presented
gives an analytical characterization of all the possible values of the
personalized PageRank for any node.We use this result to give a theoretical
justification of a recent model that uses the personalized PageRank to classify
users of Social Networks Sites. We introduce new concepts concerning
competitivity and leadership in complex networks. We also present some
theoretical techniques to locate leaders and competitors which are valid for
any personalization vector and by using only information related to the
adjacency matrix of the graph and the distribution of its dangling nodes.

37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin