Event
01_1
제출번호(No.) | 0121 |
---|---|
분류(Section) | Contributed Talk |
분과(Session) | Discrete Mathematics (DM) |
영문제목 (Title(Eng.)) |
On 2-walk-regular graphs |
저자(Author(s)) |
Jongyook Park1 Wonkwang University1 |
초록본문(Abstract) | A $t$-walk-regular graph is a common generalization of distance-regular graphs on the one hand and $t$-arc-transitive graphs on the other hand. We focus on the case where $t =2$ because $s$-walk-regular graphs are $t$-walk-regular if $s\geq t$ and many properties of distance-regular graphs can be generalized to $2$-walk-regular graphs. In this talk, we first introduce some known results that hold for $2$-walk-regular graphs but are not true in general for $1$-walk-regular graphs. And then we will generalize a known result of distance-regular graphs to the class of 2-walk-regular graphs. |
분류기호 (MSC number(s)) |
05E30, 05C50 |
키워드(Keyword(s)) | distance-regular graphs, t-walk-regular graphs |
강연 형태 (Language of Session (Talk)) |
Korean |