Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/191567
Title: | Resolucions lineals i ideals de grafs |
Author: | Merino Abelló, Ton |
Director/Tutor: | Zarzuela, Santiago |
Keywords: | Teoria de grafs Treballs de fi de grau Àlgebra abstracta Anells commutatius Graph theory Bachelor's theses Abstract algebra Commutative rings |
Issue Date: | 11-Jun-2022 |
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. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Santiago Zarzuela |
URI: | http://hdl.handle.net/2445/191567 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_merino_abello_ton.pdf | Memòria | 753.16 kB | Adobe PDF | View/Open |
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