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Korea-Taiwan-Vietnam Joint Seminar in Combinatorics and Analysis
 
10:00 - , November 25, 2022 (Friday)
Zoom, Online seminar
(線上演講 Zoom)
On the Paley Graph of a Quadratic Character
Tung T. Nguyen (Western University)

Abstract

Paley graphs represent a useful class of graphs with interesting properties. 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 introduce the generalized Paley graphs. These are graphs that are associated with a general quadratic character. We will then provide some of their basic properties. In particular, we describe their spectrum explicitly and then utilize them to construct some new families of Ramanujan graphs. Time permitting, we will provide an effective upper bound for the Cheeger number of these generalized Paley graphs.

Link Information: https://us02web.zoom.us/j/86050584049?pwd=U2pNNVovdlQ1SDlEb1loVEdZQU9Odz09

Zoom Meeting ID: 860 5058 4049
Passcode: 901444


 

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