|
課程名稱 |
圖論二
Graph Theory (Ⅱ) |
|
開課學期 |
110-2 |
|
授課對象 |
理學院 數學研究所 |
|
授課教師 |
戴尚年 |
|
課號 |
MATH7704 |
|
課程識別碼 |
221EU3460 |
|
班次 |
|
|
學分 |
3.0 |
|
全/半年 |
半年 |
|
必/選修 |
必修 |
|
上課時間 |
星期二5(12:20~13:10)星期五8,9(15:30~17:20) |
|
上課地點 |
天數101天數101 |
|
備註 |
本課程以英語授課。
總人數上限：40人 |
|
|
|
|
課程簡介影片 |
|
|
核心能力關聯 |
核心能力與課程規劃關聯圖 |
|
課程大綱
|
|
為確保您我的權利,請尊重智慧財產權及不得非法影印
|
|
課程概述 |
This course will introduce students to the problems and methods of extremal
combinatorics. The fundamental extremal problem asks how large a structure can be
without containing a forbidden substructure. This very flexible problem arises in many
different settings and enjoys several applications. A variety of methods have been
developed to tackle them, and this course will pay special attention to the probabilistic,
linear algebraic and (briefly) topological methods. |
|
課程目標 |
Knowledge of the fundamental theorems of extremal combinatorics
Ability to use probabilistic, algebraic and topological methods to solve problems |
|
課程要求 |
Successful completion of Graph Theory I (or an equivalent course)
Familiarity with linear algebra and (discrete) probability
Some knowledge of topology would be a bonus, but is not required |
|
預期每週課後學習時數 |
|
|
Office Hours |
|
|
指定閱讀 |
|
|
參考書目 |
|
|
評量方式
(僅供參考) |
|
|