Xuất bản mới
Trần Hùng Cường, Yongdo Lim, Nguyễn Đông Yên, On a solution method in indefinite quadratic programming under linear constraints, Optimization, Volume 73, 2024 - Issue 4, Pages 1087-1112 (SCI-E, Scopus) .
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) .

On the Paley graph of a quadratic character

Người báo cáo: Nguyễn Duy Tân

Time: 9:30 - 11:00, Jan 11, 2023.

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

Abstract: Classically, for each prime number p, we can construct the corresponding Paley graph using quadratic and non-quadratic residues modulo p. In this talk, we discuss generalized Paley graphs. These are graphs that are associated with a general quadratic character. We will provide some of their basic properties. In particular, we describe their spectrum explicitly and use them to construct some new families of Ramanujan graphs. We will also provide an effective upper bound for the Cheeger number of these generalized Paley graphs.