# Hakata Workshop; Summer Meeting 2017

Last-modified: 2017-06-23 (金) 10:35:32 (274d)
Top / Hakata Workshop; Summer Meeting 2017

## Hakata Workshop; Summer Meeting 2017 †

～Discrete Mathematics and its Applications～

Our purpose of this meeting is giving an opportunity to make a speech and to communicate with researchers who study various fields not only Combinatorics.

Further information is available from the organizers below.

### Organizers †

• Yoshihiro Mizoguchi (Kyushu University),
• Tetsuji Taniguchi (Hiroshima Institute of Technology),
• Makoto Tagami ( Kyushu Institute of Technology),
• Hirotake Kurihara (Kitakyushu National College of Technology),
• Shuya Chiba (Kumamoto University).

### Date †

Saturday, June 17, 2017

### Program †

 Speaker Title 13:43--13:45 Opening (Tetsuji Taniguchi) 13:45--14:30 Michio Seto (National Defense Academy) (this is joint work with S. Suda) An application of de Branges-Rovnyak space theory to graph theory 14:45--15:30 Koji Momihara (Faculty of Education, Kumamoto University) Three-valued Gauss periods and related strongly regular Cayley graphs 15:45--16:30 Shoichi Kamada (Graduate School of Science and Technology, Kumamoto University) Fractal analysis for subset sum problems 16:45--17:30 Yusuke Yamauchi ( Hiroshima Institute of Technology) On a regularity theorem for rectangular domain 17:30--17:35 Closing(Yoshihiro Mizoguchi)

### Abstract †

#### Koji Momihara †

• Title: Three-valued Gauss periods and related strongly regular Cayley graphs
• Abstract: It is well-known that the Cayley graph on a finite field with the set of zeros of a nondegenerate elliptic quadratic form as its connection set is strongly regular. Recently, Bamberg, Lee, Xiang and the speaker found new strongly regular Cayley graphs by halving the elliptic quadric. Two-valued Gauss periods and a partition of a conic are behind this construction. In this talk, we show that the construction can be also done within the framework of three-valued Gauss periods. As a consequence, we obtain two new infinite families of strongly regular Cayley graphs.