컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0192 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | (SS-22) Enumerative Combinatorics (SS-22) |
| 발표시간(Time) | 20th-C-10:30 -- 11:00 |
| 영문제목 (Title(Eng.)) |
Chromatic symmetric functions and linked rook placements |
| 저자(Author(s)) |
Seung Jin Lee1, Jeong Hyun Sung1 Seoul National University1 |
| 초록본문(Abstract) | Stanley-Stembridge and Shareshian-Wachs conjectured that for a unit interval graph the chromatic quasisymmetric function is $e$-positive. For an abelian case, Abreu-Nigro described coefficients of chromatic quasisymmetric functions as finite linear combinations of $q$-hit numbers. In this talk, we introduce linked $q$-hit numbers which are refined notion of $q$-hit numbers and then describe all $e$-coefficients of chromatic symmetric functions with the bounce number $\leq$ 3 as finite linear combinations of linked $q$-hit numbers. We can describe all $e$-coefficients of chromatic symmetric functions as finite linear combinations of linked $q$-hit numbers. If time permits, I will present the algorithm to describe $e$-coefficients of chromatic symmetric functions as finite linear combination of linked $q$-hit numbers. |
| 분류기호 (MSC number(s)) |
05E05 |
| 키워드(Keyword(s)) | Chromatic symmetric functions, e-positivity, rook placements |
| 강연 형태 (Language of Session (Talk)) |
Korean |