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Yongdo Lim, Hoàng Ngọc Tuấn, Nguyễn Đông Yên, Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces,, Numerical Functional Analysis and Optimization, Volume 45, 2024, Issue 1, Pages 1-15 (SCI-E, Scopus) .
Đỗ Thái Dương, Nguyễn Văn Thiện, On the finite energy classes of quaternionic plurisubharmonic functions, Journal of Mathematical Analysis and Applications, Volume 541, Issue 1, January 2025, 128736 (SCI-E, Scopus) .

Cohen--Macaulayness of a class of graphs versus the class of their complements

Người báo cáo: Đỗ Trọng Hoàng

Time: 9:30 - 11:00, March 01, 2023.

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

Abstract: Let $ngeq2$ be an integer. The graph $G(n)$ is obtained by letting all the elements of ${0,ldots,n-1}$ to be the vertices and defining distinct vertices $x$ and $y$ to be adjacent if and only if $gcd(x+y,n)=1$. In this talk, well-coveredness, Cohen--Macaulayness, vertex-decomposability and Gorensteinness of these graphs and their complements are characterized. These characterizations provide large classes of Cohen--Macaulay and non Cohen--Macaulay graphs. This is a joint work with T. Ashitha, T. Asir, and M. R. Pournaki.