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tfg_merino_abello_ton.pdf (753.16 KB)

Document type

Bachelor thesis

Publication date

2022-06-11

Publication license

cc-by-nc-nd (c) Ton Merino Abelló, 2022
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/191567

Resolucions lineals i ideals de grafs

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Abstract

[en] In this work, we study some of the correspondences between commutative algebra and graph theory. We start with an introduction on edge and cover ideals that lead into introducing the algebra basic tools that lets us state Fröberg’s Theorem on linear resolutions of edge ideals and chordal graphs. The work ends with a proof of Fröberg’s Theorem given by Adam Van Tuyl, based on monomial splittings and some properties of chordal graphs.

Description

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Santiago Zarzuela

Subject

Teoria de grafs, Treballs de fi de grau, Àlgebra abstracta, Anells commutatius

Subject (English)

Graph theory, Bachelor's theses, Abstract algebra, Commutative rings

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Treballs Finals de Grau (TFG) - Matemàtiques

Citation

MERINO ABELLÓ, Ton. Resolucions lineals i ideals de grafs. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/191567

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