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Lethbridge Number Theory and Combinatorics Seminar
Date:
September 19, 2016
Time:
12:00-12:50pm
Lecturer(s):
Hadi Kharaghani
Location:
University of Lethbridge
Topic:
The Strongly Regular Graph SRG(765,192,48,48)
Description (in plain text format):
Andries Brouwer is 65 and a special issue of Designs, Codes and Cryptography is issued to celebrate the occasion.
Professor Brouwer maintains an elegant public database of existence results for all possible strongly regular graphs on n < 1300 vertices. In a very nice paper, Cohen and Pasechnik implemented most of the graphs listed there in the open source software Sagemath and obtained a graph for each set of parameters mentioned in the database. In their initial version of the paper, they mentioned 11 cases as missing values. A number of the cases were related to my work with professors Janko, Tonchev, and Ionin. I tried to help out with these cases and four cases were resolved quickly, after I sent detailed instructions. However, there was a problem with the case of SRG(765,192,48,48). This talk relates to this special case and a nice application of generalized Hadamard matrices.
To make the talk accessible to general audiences, I will provide many examples illustrating the concepts involved.
Other Information:
Location: C756 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/
Contact:
Barb Hodgson | hodgsonb@uleth.ca | (403) 329-2470 | uleth.ca/artsci/math-computer-science