작성자 분류 공지대상 등록일 마감일 12월 4일 수학과 colloquium 안내 이서안 기타 2020-11-30 2020-12-04 205 자연과학대학교학팀 ※연사 : 박종육 (경북대학교)※일시 : 12월 4일(금) 5:00-6:00 PM※방법 : Zoom URLhttps://ajou-ac-kr.zoom.us/j/81212639235?pwd=NGZIZEFJendvcTdNVHVzbHlMY1JPQT09https://ajou-ac-kr.zoom.us/j/81212639235?pwd=NGZIZEFJendvcTdNVHVzbHlMY1JPQT09---------------------------------------------------------------------------------------강연제목: On the clique number of 2-walk-regular graphs초록:In this talk, we consider the question of when a strongly regular graph with parameters $((s+1)(st+1),s(t+1),s-1,t+1)$ can exist. A strongly regular graph with such parameters is called a pseudo-generalized quadrangle. A pseudo-generalized quadrangle can be derived from a generalized quadrangle, but there are other examples which do not arise in this manner. If the graph is derived from a generalized quadrangle then $t \leq s^2$ and $s \leq t^2$, while for pseudo-generalized quadrangles we still have the former bound but not the latter. Previously, Neumaier has proved a bound for $s$ which is cubic in $t$, but we improve this to one which is quadratic. The proof involves a careful analysis of cliques and cocliques in the graph. This improved bound eliminates many potential parameter sets which were otherwise feasible.
 이전 [자연대] 2021학년도 1학기 교내 장학 신청 안내(~12/31) [*내용 일부 수정*] [자연대] 2020-2학기 아주대학교 동문장학생 선발 공고(~12/1)