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Friends, Foes, and Factions: The Math Behind Signed Networks

  • IFISC Seminar

  • Fernando Diaz Diaz
  • Applied Mathematics, University Carlos III of Madrid
  • 25 de noviembre de 2025 a las 12:00
  • seminar room, zoom
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Many networks include both allies and adversaries, excitations and inhibitions, agreements and disagreements. Signed networks offer a formal way to represent these interactions, but negative edges introduce many challenges in standard notions like communities, distances, and centralities. In this talk, I will present the most common concepts and methodologies used in the study of signed networks, with a focus on structural balance and mesoscale structures. I will then introduce the Gremban expansion, a method that transforms signed networks into unsigned ones without information loss. This framework enables a principled separation between communities and factions, addressing the limitations of existing algorithms (which typically recover only factions)



Coffee and cookies will be served 15 minutes before the start of the seminar


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