Combinatorics Seminar
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2024
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Thursday (Sep 26, 2024), 4:00-5:00 pm: Ngo Viet Trung (Institute of Mathematics, Vietnam Academy of Science and Technology)
Ear decompositions of graphs$\colon$ an unexpected tool in Combinatorial Commutative Algebra
Abstract(Click to expand)
Ear decomposition is a classical notion in Graph Theory. It has been shown in [1, 2] that this notion can be used to solve difficult problems on homological properties of edge ideals in Combinatorial Commutative Algebra. This talk presents the main combinatorial ideas behind these results.
[1] H.M. Lam and N.V. Trung, Associated primes of powers of edge ideals and ear decompositions of graphs, Trans. AMS 372 (2019)
[2] H.M. Lam, N.V. Trung, and T.N. Trung, A general formula for the index of depth stability of edge ideals, Trans. AMS, to appear.