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tfg_alvarez_sampos_hortensia.pdf (634.18 KB)

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Bachelor thesis

Publication date

2022-06-13

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cc-by-nc-nd (c) Hortènsia Álvarez Sampons, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/188079

Àlgebra lineal i teoria de grafs. Teorema de Tutte

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Abstract

[en] This project explores in depth into the relationship between some concepts of Linear Algebra and Graph Theory. There are two main blocks. In the first one, we will deal with basic topics of algebra, such as: determinants, spectral theory, Jordan’s canonical form and non-negative matrices. All of them from the perspective of Graphs Theory. On the other hand, the second block deals with the relationship between graphs and the theorem of Tutte, and it approaches this last one with more depth. We will also study some of its consequences and its relationship with the prime graphs.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: M. Eulàlia Montoro López

Subject

Teoria de grafs, Treballs de fi de grau, Àlgebra lineal, Matrius (Matemàtica)

Subject (English)

Graph theory, Bachelor's theses, Linear algebra, Matrices

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

ÁLVAREZ SAMPONS, Hortènsia. Àlgebra lineal i teoria de grafs. Teorema de Tutte. [consulted: 7 of June of 2026]. Available at: https://hdl.handle.net/2445/188079

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