Articolo in rivista, 2022, ENG, 10.1109/TCNS.2022.3163665

Graph Structure-Based Heuristics for Optimal Targeting in Social Networks

Bini, Massimo and Frasca, Paolo and Ravazzi, Chiara and Dabbene, Fabrizio

University of Tübingen, CNRS Grenoble, Italian National Research Council (CNR)

In this article, we consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs, and the nonstrategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one strategic agent must identify k+ target agents in the network to maximally spread his/her own opinion and alter the average opinion that eventually emerges. In the literature, this problem is cast as the maximization of a set function and, by leveraging on the submodularity property, is solved in a greedy manner by solving k+ separate single targeting problems. Our main contribution is to exploit the underlying graph structure to build more refined heuristics. First, we provide the analytical solution for the optimal targeting problem over complete graphs. This result provides a rule to understand whether it is convenient or not to block the opponent.s influence by targeting the same nodes. The argument is then extended to generic graphs, leading to more effective solutions compared to the greedy approach. Second, we derive some useful properties of the objective function for trees by an electrical analogy. Inspired by these findings, we define a new algorithm, which selects the optimal solution on trees in a much faster way with respect to a brute-force approach and works well also over tree-like/sparse graphs. The proposed heuristics are then compared to zero-cost heuristics on randomly generated graphs and real social networks.

IEEE Transactions on Control of Network Systems 9 (3), pp. 1189–1201

Keywords

Multi-agent systems, network topology, networked control systems, social network theory

CNR authors

Frasca Paolo, Dabbene Fabrizio, Ravazzi Chiara

CNR institutes

IEIIT – Istituto di elettronica e di ingegneria dell'informazione e delle telecomunicazioni

ID: 471184

Year: 2022

Type: Articolo in rivista

Creation: 2022-09-23 17:48:19.000

Last update: 2022-11-08 09:56:46.000

External links

OAI-PMH: Dublin Core

OAI-PMH: Mods

OAI-PMH: RDF

DOI: 10.1109/TCNS.2022.3163665

External IDs

CNR OAI-PMH: oai:it.cnr:prodotti:471184

DOI: 10.1109/TCNS.2022.3163665