107年第1學期-5474 代數組合專題 課程資訊

評分方式

評分項目	配分比例	說明
oral presentation	50
written report	50

教育目標

In algebraic combinatorics one associates algebraic objects like groups, rings and vector spaces to combinatorial objects in order to reveal more of their structure, therefore we introduce students in this class basic knowledge regarding algebraic tools and related combinatorial objects, and also directions for further research. More precisely, the following will be covered: (1) elementary number theory, groups, rings, fields, and vector spaces; (2) graphs, recurrences, generating functions, and enumeration principles; (3) advanced combinatorics such as Mobius inversion formula, Polya theory of counting etc.; (4) topics in algebraic graph theory; (5) topics in algebraic combinatorics.

基本資料

選修課，學分數：3-0
上課時間：一/6,7,三/3[ST527]
修課班級：應數碩1,2
修課年級：年級以上
選課備註：全英語授課、大學部需經授課教師同意，大學部可抵專題

參考書目

- Richard Stanley, Enumerative Combinatorics, Volume 1, Cambridge University Press
- Richard Stanley, Topics in Algebraic Combinatorics, MIT.
- Lecture Notes of the Instructor.