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5月17日学术报告:Permutation Polynomials and Monomial Graphs

作者:admin 点击:498 发布时间:2016-5-11 15:07:10

报告人:Xiang-dong Hou
 
报告时间:2016年5月17日,14:00-15:00,
 
报告地点:理学院506
 
报告人简介:
Xiang-dong Hou, Department of Mathematics, University of South Florida, Tampa, FL 33620-5700
Phone: (813)-974-2561, E-mail Address: xhou@usf.edu, Web page : http://www.math.usf.edu/~xhou/
Professor Hou is a famous expert on combinatory and algebraic coding theory, his research interests are: (1)Algebra: Finite fields, finite rings, chain rings, Galois rings, finite local Frobenius rings, classical groups over finite fields, (2) Number Theory: Exponential sums, isomorphism classes of p-adic fields, (3) Coding Theory and Cryptography (4) Combinatorics: Bent functions, difference sets, partial difference sets, relative difference sets, (5)Topology: Knot invariants etc. He is on the editor board of several international journals and finished several research projects and grants of NSF of USA. He published more than 100 papers which are included in the SCI database.
 
摘要:
Let  be the Wenger graph associated with polynomials .The following conjecture was made in 2007.
Conjecture 1. (Dmytrenko, Lazebnik and Wiliford) If  and  are monomials and
has girth eight, then  is isomorphic to .
We recently confirmed Conjecture 1 with combined partial results on some other conjectures.
 
 
 
 
 
 
联系人:曹喜望