Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Total positive influence domination on weighted networks   We are proposing two greedy and a new linear programming based approximation
algorithm for the total positive influence dominating set problem in weighted
networks. Applications of this problem in weighted settings include finding: a
minimum cost set of nodes to broadcast a message in social networks, such that
each node has majority of neighbours broadcasting that message; a maximum
trusted set in bitcoin network; an optimal set of hosts when running
distributed apps etc. Extensive experiments on different generated and real
networks highlight advantages and potential issues for each algorithm.

18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat