컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0205 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (DM) Discrete Mathematics (DM) |
| 발표시간(Time) | 19th-B-13:50 -- 14:10 |
| 영문제목 (Title(Eng.)) |
A lower bound for the Laplacian eigenvalues of a unicyclic graph |
| 저자(Author(s)) |
Sunyo Moon1, Seungkook Park2 KIAS1, Sookmyung Women's University2 |
| 초록본문(Abstract) | Let $G$ be a simple graph with $n$ vertices. The Laplacian matrix of $G$, denoted by $L(G)$, is defined as the difference between the diagonal matrix of vertex degrees and the adjacency matrix of $G$. The eigenvalues of $L(G)$ are called Laplacian eigenvalues of $G$. In this talk, we provide a lower bound for the number of Laplacian eigenvalues of a unicyclic graph $G$ within the interval $[0,1)$ in terms of the diameter and the girth of $G$. This is joint work with Seungkook Park. |
| 분류기호 (MSC number(s)) |
15A18, 05C50 |
| 키워드(Keyword(s)) | Laplacian eigenvalues, unicyclic graph, diameter |
| 강연 형태 (Language of Session (Talk)) |
English |