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Bachelor thesis

Publication date

2022-06-13

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cc-by-nc-nd (c) Ana Blanco Lara, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188737

Grafs i superfícies de Riemann

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Abstract

[en] This memory presents basic notions and results about Riemann surfaces which are later seen applied in an analogous way in graphs. The analogy is given in divisors’ context, enunciating a version for graphs of the known Riemann-Roch Theorem. In addition, other results analogous to classical facts about Riemann surfaces theory are shown and proved, like the jacobian or the Abel-Jacobi map. Finally, the analogy with divisors is used for observing a possible application on a Chip-Firing game, a graphs’ game, making it possible to characterise the existence or non-existence of a winning strategy.

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Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Juan Carlos Naranjo del Val

Subject

Teoria de grafs, Treballs de fi de grau, Superfícies de Riemann, Funcions de variables complexes

Subject (English)

Graph theory, Bachelor's theses, Riemann surfaces, Functions of complex variables

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

BLANCO LARA, Ana. Grafs i superfícies de Riemann. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/188737

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