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On eigenfunctions and maximal cliques of Paley graphs of square order
时间  Datetime
2018-01-18 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Sergey Goryainov
单位  Affiliation
Shanghai Jiao Tong University
邀请人  Host
Yaokun Wu
报告摘要  Abstract

In Paley graphs of order q2, where q is an odd prime power, we find new maximal cliques of size q+12 or q+32, accordingly as q≡1(4) or q≡3(4). After that we use the new cliques to define a family of eigenfunctions corresponding to both non-principal eigenvalues and having support size q+1, which is the minimum possible value by the weight-distribution bound.