A study on binomial edge ideals

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Atar, Büşra (2021) A study on binomial edge ideals. [Thesis]

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Abstract

In this thesis, we study the binomial edge ideals associated with graphs. We review their reduced Gröber basis and minimal primary decompositions. Moreover, we also give an overview of recent results related to the depth, betti numbers, and regularity of binomial edge ideals arising from di erent classes of simple graphs.
Item Type: Thesis
Uncontrolled Keywords: Binomial edge ideals, graphs. -- Gröbner basis. -- primary decomposition. -- depth. -- Betti numbers. -- Castelnuovo-Mumford regularity. -- Binom kenar idealleri. -- çizgeler. -- Gröbner bazı. -- birincil ayrışma. -- derinlik. -- Betti sayılar. -- Castelnuovo-Mumford düzenliliği.
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: 11 Nov 2021 16:09
Last Modified: 26 Apr 2022 10:39
URI: https://research.sabanciuniv.edu/id/eprint/42532

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