Xuất bản mới
Nguyễn Hữu Sáu, Piyapong Niamsup, Vũ Ngọc Phát, Linear Programming Approach to Constrained Stabilization of Positive Differential-Difference Equations With Unbounded Delay, Optimal Control Applications and Methods, 2025; 46:2581--2594 (SCI-E, Scopus) .
Đỗ Hoàng Sơn, Vũ Đức Việt, Quantitative stability for the complex Monge-Ampère equations II, Calculus of Variations and Partial Differential Equations 64 (2025), no. 8, Paper No. 269 (SCI-E, Scopus) .
Giang Trung Hiếu, Existence and uniqueness results for a nonlinear Budiansky-Sanders shell model, Journal of Engineering Mathematics, Volume 151, article number 5, (2025) (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.