107年第1學期-5474 代數組合專題 課程資訊

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評分方式

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

選課分析

本課程名額為 70人,已有6 人選讀,尚餘名額64人。

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.