組合數學
Combinatorial Mathematics
| 節 | 週一 |
|---|---|
A 18:30–19:20 | 組合數學 EC122（光復） 2 節連堂 |
B 19:30–20:20 |
* 根據陽明交大上課時間表所列
To learn the concepts of combinatorics and its potential applications in computer science. Course website: https://sites.google.com/nycu.edu.tw/111-2-combo-math
Linear Algebra, Probability, Discrete Mathematics
無備註
The class will be given via premade video recordings (to be played at class) with in-class explanations. Students are expected to read the lecture notes & slides and do homework problems spontaneously in order to fully understand the concepts.
Approximately 5 Handwritten Homework: 20% Approximately 4 Program Assignments: 20% Two Midterm Exams and Final: 60%
The classics
Probabilistic counting, The pigeonhole principle, The Lovász sieve and the local lemma
- 講授：
- 12
Topics in graphs
Hall's matching theorem, Maximum bipartite matching, The Hungarian algorithm, The max-flow min-cut theorem
- 講授：
- 12
Extremal set theory
Intersecting families, Chains and antichains, Blocking set and duality, Hereditary sets
- 講授：
- 6
Advanced topics
Algorithmic Lovász local lemma, Eigenvalues and graph expansions, Random walks
- 講授：
- 9
| 週次 | 主題 |
|---|---|
| 第 1 週 | Probabilistic method 2023-02-13(一) |
| 第 2 週 | The Pigeonhole principle 2023-02-20(一) |
| 第 3 週 | Miscellaneous topics in counting 2023-02-27(一) |
| 第 4 週 | The Lovasz sieve and the local lemma 2023-03-06(一) |
| 第 5 週 | Supplement: The Algorithmic Lovasz local lemma 2023-03-13(一) |
| 第 6 週 | *** Midterm (I) *** 2023-03-20(一) |
| 第 7 週 | System of distinct representatives Hall's marriage theorem 2023-03-27(一) |
| 第 8 週 | Maximum bipartite matching 2023-04-03(一) |
| 第 9 週 | Weighted bipartite matching The Hungarian algorithm for min-cost perfect matching 2023-04-10(一) |
| 第 10 週 | The max-flow min-cut theorem 2023-04-17(一) |
| 第 11 週 | *** Midterm (II) *** 2023-04-24(一) |
| 第 12 週 | Intersecting families, Chains and antichains 2023-05-01(一) |
| 第 13 週 | Blocking set and the duality 2023-05-08(一) |
| 第 14 週 | Eigenvalues and graph expansions 2023-05-15(一) |
| 第 15 週 | Supplement: Random walks 2023-05-22(一) |
| 第 16 週 | *** Final exam *** 2023-05-29(一) |
| 第 17 週 | 2023-06-05(一) |
| 第 18 週 | 2023-06-12(一) |
1. Applied Combinatorics, 6th Ed, Alan Tucker 2. Extremal Combinatorics, 2nd Ed, Stasys Junka.
- 地點
- 教師未提供此項資料
- 時間
- In class or by appointment via email (if necessary)
- 聯絡方式
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