Continuation of abstract Lyapunov graphs and the maximal number of Betti number va...
Electronic correlations in quantum materials: inhomogeneities and frustration
From interacting particle systems to topological data analysis
Grant number: | 25/00669-5 |
Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
Start date: | October 06, 2025 |
End date: | October 05, 2026 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
Principal Investigator: | Leandro Fiorini Aurichi |
Grantee: | Lucas Silva Sinzato Real |
Supervisor: | Max Pitz |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Institution abroad: | Universität Hamburg (UHH), Germany |
Associated to the scholarship: | 24/01158-1 - Directions in Infinite Graphs: topological, combinatorial and set-theoretical approaches, BP.DR |
Abstract The combinatorial and topological properties of end spaces have been explored by an extensive bibliography within infinite graph theory. On the other hand, the edge-related counterpart to these structures does not benefit from such a well established literature. In fact, besides a first article due to Hahn, Laviolette and Sirán, almost no other reference brings a deeper investigation about edge-ends of infinite graphs. In a recent work partially supported by FAPESP, however, the student and his supervisor in Brazil coauthored a paper which highlights that these latter objects indeed behave differently from the broadly studied end spaces. Then, this internship research proposal aims to reach a more complete picture of the edge-end structure in infinite graphs. In our approach, this goal shall be addressed especially by revisiting some landmark theorems in the classical end space theory and searching for their edge-analogous conclusions. | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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