105年第1學期-5473 代數組合專題 課程資訊

課程分享

選課分析

本課程名額為 70人,已有7人選讀,尚餘名額63人。

評分方式

評分項目 配分比例 說明
midterm exam 40
oral presentation 30 口頭報告
written report 30 書面報告

授課教師

王道明

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.

課程資訊

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.