Xuất bản mới
Cấn Văn Hảo, Naoki Kubota, Shuta Nakajima, Lipschitz-Type Estimate for the Frog Model with Bernoulli Initial Configuration, Mathematical Physics, Analysis and Geometry, Volume 28, article number 1, (2025) (SCI-E, Scopus) .
Đoàn Thái Sơn, Phan Thị Hương, Peter E. Kloeden, Theta-scheme for solving Caputo fractional differential equations, Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 05, pp. 1-13 (SCI-E, Scopus) .
Đinh Sĩ Tiệp, Guo Feng, Nguyễn Hồng Đức, Phạm Tiến Sơn, Computation of the Łojasiewicz exponents of real bivariate analytic functions, Manuscripta Mathematica . Volume 176, 1 (2025) (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.