On the unmixedness and Cohen-Macaulayness of parity binomial edge ideals of chordal graphs

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Vietnam Academy of Science and Technology

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Vietnam Institute for Advanced Study in Mathematics

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On the unmixedness and Cohen-Macaulayness of parity binomial edge ideals of chordal graphs

Speaker: A. V. Jayanthan

Time: 9:30 -- 11:00, November 27, 2024

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: While the Cohen-Macaulayness of binomial edge ideal has been extensively studied in terms of combinatorial properties of the graphs, nothing is not known about the unmixedness and Cohen-Macaulayness of the parity binomial edge ideals. In this talk I will classify all unmixed and Cohen-Macaulay parity binomial edge ideals of chordal graphs. If I have time, I will discuss the proof which is very combinatorial in nature.

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