Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/187688
Title: | Woodall's conjecture and the Lucchesi-Younger theorem |
Author: | Moles Gené, Oriol |
Director/Tutor: | Knauer, Kolja |
Keywords: | Teoria de grafs Treballs de fi de grau Anàlisi combinatòria Graph theory Bachelor's theses Combinatorial analysis |
Issue Date: | 24-Jan-2022 |
Abstract: | [en] This project is about directed cuts, directed joins and their packings. We study the open problem of Woodall’s Conjecture, a problem studied by many authors to such an extent that it even has a $5000 dollars prize for his demonstration set by G. Cornuéjols. We will also cover the Lucchesi-Younger Theorem proof which can be seen as a dual result of the conjecture and the counterexample for the Edmonds-Giles Conjecture, the weighted version of Woodall’s Conjecture. Besides studying the theory we have set ourselves the goal of proposing a program that given a graph, checks if all of its orientations validate the Woodall’s Conjecture. This program should be able to prove the conjecture, up to a certain number of vertices, by testing all the different combinations. |
Note: | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Kolja Knauer |
URI: | http://hdl.handle.net/2445/187688 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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tfg_moles_gene_oriol.pdf | Memòria | 1.25 MB | Adobe PDF | View/Open |
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