Regularity of edge ideals and their powers

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Kamberi, Elshani (2020) Regularity of edge ideals and their powers. [Thesis]

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Abstract

In this thesis, we study the Castelnuovo-Mumford regularity of edge ideals associated to graphs. We rst give a detailed proof of celebrated theorem of Fr7Foberg which characterizes edge ideals with linear resolution. We also collect recent results on di erent bounds and exact values of regularity of edge ideals associated to different classes of graphs. In the last part, we study some bounds and exact values of regularity of powers of edge ideals.
Item Type: Thesis
Uncontrolled Keywords: Edge ideals. -- Castelnuovo-Mumford regularity. -- graphs. -- matching. -- simplicial complex. -- Kenar idealler. -- Castelnuovo-Mumford düzenliliği. -- graflar. -- eşleştirme. -- basit kompleksler.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 06 May 2021 14:29
Last Modified: 26 Apr 2022 10:37
URI: https://research.sabanciuniv.edu/id/eprint/41474

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