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https://github.com/andy489/combinatorics_and_graphs

Generating functions. Involution. Special Numbers (Catalan, Euler, Eulerian, Euler zigzag, Stirling, Bell, etc.). Approximations. Pólya's theory for counting. Hall's marriage theorem. Paths in an integer lattice. Kummer's, Legendre's and Lucas's Theorems and more.
https://github.com/andy489/combinatorics_and_graphs

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Generating functions. Involution. Special Numbers (Catalan, Euler, Eulerian, Euler zigzag, Stirling, Bell, etc.). Approximations. Pólya's theory for counting. Hall's marriage theorem. Paths in an integer lattice. Kummer's, Legendre's and Lucas's Theorems and more.

Awesome Lists containing this project

README 

          
## Selected Chapters from Combinatorics and Graph Theory



## Lectures



N|date|pdf

:-:|:-:|:-

01|2021-05-25|[(**Л**) Пораждащи функции. Рекурентни уравнения. **Инволюция**.](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/01%20%D0%9B%20(2021-02-25)%20%D0%9F%D0%BE%D1%80%D0%B0%D0%B6%D0%B4%D0%B0%D1%89%D0%B8%20%D1%84%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D0%B8.%20%D0%A0%D0%B5%D0%BA%D1%83%D1%80%D0%B5%D0%BD%D1%82%D0%BD%D0%B8%20%D1%83%D1%80%D0%B0%D0%B2%D0%BD%D0%B5%D0%BD%D0%B8%D1%8F.%20%D0%98%D0%BD%D0%B2%D0%BE%D0%BB%D1%8E%D1%86%D0%B8%D1%8F.pdf)

02|2021-03-04|[(**Л**) Комбинаторни тъждества. Формула на Стирлинг. Терема на Льожандер. Теорема на Люка. Теорема на Кумер](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/02%20%D0%9B%20(2021-03-04)%20%D0%9A%D0%BE%D0%BC%D0%B1%D0%B8%D0%BD%D0%B0%D1%82%D0%BE%D1%80%D0%BD%D0%B8%20%D1%82%D1%8A%D0%B6%D0%B4%D0%B5%D1%81%D1%82%D0%B2%D0%B0.%20%D0%A4%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0%20%D0%BD%D0%B0%20%D0%A1%D1%82%D0%B8%D1%80%D0%BB%D0%B8%D0%BD%D0%B3.%20%D0%A2%D0%B5%D1%80%D0%B5%D0%BC%D0%B0%20%D0%BD%D0%B0%20%D0%9B%D1%8C%D0%BE%D0%B6%D0%B0%D0%BD%D0%B4%D0%B5%D1%80.%20%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%20%D0%BD%D0%B0%20%D0%9B%D1%8E%D0%BA%D0%B0.%20%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%20%D0%BD%D0%B0%20%D0%9A%D1%83%D0%BC%D0%B5%D1%80.pdf)
[2.1. Wilf–Zeilberger pairs](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/02.1%20Wilf%E2%80%93Zeilberger%20pairs.pdf)
[2.2. WZ-method – Examples](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/02.2%20WZ-method%20%E2%80%93%20Examples.pdf)
[2.3. Gosper algorithm for finding WZ pairs](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/02.3%20Gosper%20algorithm%20for%20finding%20WZ%20pairs.pdf)

03|2021-03-11|[(**Л**) Разбиване на естествено число. Диаграми на Юнг. Числа на Каталан.](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/03%20%D0%9B%20(2021-03-11)%20%D0%A0%D0%B0%D0%B7%D0%B1%D0%B8%D0%B2%D0%B0%D0%BD%D0%B5%20%D0%BD%D0%B0%20%D0%B5%D1%81%D1%82%D0%B5%D1%81%D1%82%D0%B2%D0%B5%D0%BD%D0%BE%20%D1%87%D0%B8%D1%81%D0%BB%D0%BE.%20%D0%94%D0%B8%D0%B0%D0%B3%D1%80%D0%B0%D0%BC%D0%B8%20%D0%BD%D0%B0%20%D0%AE%D0%BD%D0%B3.%20%D0%A7%D0%B8%D1%81%D0%BB%D0%B0%20%D0%BD%D0%B0%20%D0%9A%D0%B0%D1%82%D0%B0%D0%BB%D0%B0%D0%BD.pdf)
[3.1. Catalan Numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/03.1%20Catalan%20Numbers.pdf)
[3.2. Lectures on Integer Partitions (by Herbert Wilf)](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/03.2%20Lectures%20on%20Integer%20Partitions%20(by%20Herbert%20Wilf).pdf)

04|2021-03-18|[(**Л**) Специални числа. Числа на Стирлинг, Бел, Ойлер](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04%20%D0%9B%20(2021-03-18(21))%20%D0%A1%D0%BF%D0%B5%D1%86%D0%B8%D0%B0%D0%BB%D0%BD%D0%B8%20%D1%87%D0%B8%D1%81%D0%BB%D0%B0.%20%D0%A7%D0%B8%D1%81%D0%BB%D0%B0%20%D0%BD%D0%B0%20%D0%A1%D1%82%D0%B8%D1%80%D0%BB%D0%B8%D0%BD%D0%B3%2C%20%D0%91%D0%B5%D0%BB%2C%20%D0%9E%D0%B8%CC%86%D0%BB%D0%B5%D1%80.pdf)
[4.1. Stirling Numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04.1%20Stirling%20Numbers.pdf)
[4.2. Stirling Numbers of the First Kind](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04.2%20Stirling%20Numbers%20of%20the%20First%20Kind.pdf)
[4.3. Stirling Numbers of the Second Kind](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04.3%20Stirling%20Numbers%20of%20the%20Second%20Kind.pdf)
[4.4. Bell numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04.4%20Bell%20Number.pdf)
[4.5. Eulerian Numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/04.5%20Eulerian%20Numbers.pdf)

05|2021-03-25|[(**Л**) Числа на Ойлер за броя на зигзагообразните пермутации и за реципрочния хиперболичен косинус](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/05%20%D0%9B%20(2021-03-25)%20%20%D0%A7%D0%B8%D1%81%D0%BB%D0%B0%20%D0%BD%D0%B0%20%D0%9E%D0%B8%CC%86%D0%BB%D0%B5%D1%80%20%D0%B7%D0%B0%20%D0%B1%D1%80%D0%BE%D1%8F%20%D0%BD%D0%B0%20%D0%B7%D0%B8%D0%B3%D0%B7%D0%B0%D0%B3%D0%BE%D0%BE%D0%B1%D1%80%D0%B0%D0%B7%D0%BD%D0%B8%D1%82%D0%B5%20%D0%BF%D0%B5%D1%80%D0%BC%D1%83%D1%82%D0%B0%D1%86%D0%B8%D0%B8%20%D0%B8%20%D0%B7%D0%B0%20%D1%80%D0%B5%D1%86%D0%B8%D0%BF%D1%80%D0%BE%D1%87%D0%BD%D0%B8%D1%8F%20%D1%85%D0%B8%D0%BF%D0%B5%D1%80%D0%B1%D0%BE%D0%BB%D0%B8%D1%87%D0%B5%D0%BD%20%D0%BA%D0%BE%D1%81%D0%B8%D0%BD%D1%83%D1%81.pdf)
[5.1. Euler Numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/05.1%20Euler%20Numbers.pdf)
[5.2. Euler Zigzag Numbers](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/05.2%20Euler%20Zigzag%20Numbers.pdf)

06|2021-04-01|[(**Л**) Броене на съществено различими конфигурации. **Лема на Бърнсайд**](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/06%20%D0%9B%20(2021-04-01)%20%D0%91%D1%80%D0%BE%D0%B5%D0%BD%D0%B5%20%D0%BD%D0%B0%20%D1%81%D1%8A%D1%89%D0%B5%D1%81%D1%82%D0%B2%D0%B5%D0%BD%D0%BE%20%D1%80%D0%B0%D0%B7%D0%BB%D0%B8%D1%87%D0%B8%D0%BC%D0%B8%20%D0%BA%D0%BE%D0%BD%D1%84%D0%B8%D0%B3%D1%83%D1%80%D0%B0%D1%86%D0%B8%D0%B8.%20%D0%9B%D0%B5%D0%BC%D0%B0%20%D0%BD%D0%B0%20%D0%91%D1%8A%D1%80%D0%BD%D1%81%D0%B0%D0%B8%CC%86%D0%B4.pdf)
[06.1. Видове съединиения в комбинаториката](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/06.1%20%D0%92%D0%B8%D0%B4%D0%BE%D0%B2%D0%B5%20%D1%81%D1%8A%D0%B5%D0%B4%D0%B8%D0%BD%D0%B8%D0%B5%D0%BD%D0%B8%D1%8F%20%D0%B2%20%D0%BA%D0%BE%D0%BC%D0%B1%D0%B8%D0%BD%D0%B0%D1%82%D0%BE%D1%80%D0%B8%D0%BA%D0%B0%D1%82%D0%B0.pdf)
[06.2. Combinatoric Configurations Applications](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/06.2%20Combinatoric%20Configurations%20Applications.pdf)

07|2021-04-08|[(**Л**) **Теория на Пойа за броене**](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/07%20%D0%9B%20(2021-04-08)%20%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%20%D0%BD%D0%B0%20%D0%9F%D0%BE%D0%B8%CC%86%D0%B0%20%D0%B7%D0%B0%20%D0%B1%D1%80%D0%BE%D0%B5%D0%BD%D0%B5.pdf)
[07.1. Möbius Function](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/07.1%20Mo%CC%88bius%20Function.pdf)
[07.2. Lyndon Words](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/07.2%20Lyndon%20Words.pdf)
[07.3. de Bruijn Sequences](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/07.3%20de%20Bruijn%20Sequences.pdf)
[07.4. Necklaces and Bracelets](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/07.4%20Necklaces%20and%20Bracelets.pdf)

08|2021-04-22|[(**Л**) Пътища в целочислена решетка. **Теорема на Хол за сватбите**. Съчетание (сдвояване) в граф.](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/08%20%D0%9B%20(2021-04-22)%20%D0%9F%D1%8A%D1%82%D0%B8%D1%89%D0%B0%20%D0%B2%20%D1%86%D0%B5%D0%BB%D0%BE%D1%87%D0%B8%D1%81%D0%BB%D0%B5%D0%BD%D0%B0%20%D1%80%D0%B5%D1%88%D0%B5%D1%82%D0%BA%D0%B0.%20%D0%A2%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0%20%D0%BD%D0%B0%20%D0%A5%D0%BE%D0%BB%20%D0%B7%D0%B0%20%D1%81%D0%B2%D0%B0%D1%82%D0%B1%D0%B8%D1%82%D0%B5.%20%D0%A1%D1%8A%D1%87%D0%B5%D1%82%D0%B0%D0%BD%D0%B8%D0%B5%20(%D1%81%D0%B4%D0%B2%D0%BE%D1%8F%D0%B2%D0%B0%D0%BD%D0%B5)%20%D0%B2%20%D0%B3%D1%80%D0%B0%D1%84.pdf)
[08.1. Count Dyck Paths](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/08.1%20Count%20Dyck%20Paths.pdf)

09|2021-05-06|[09.1. Labeled Trees and Prüfer Sequences](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/09.1%20Labeled%20Trees%20and%20Pru%CC%88fer%20Sequences.pdf)
[09.2. Cayley Formula – Counting Trees (proof by double counting)](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/09.2%20Cayley%20Formula%20%E2%80%93%20Counting%20Trees%20(proof%20by%20double%20counting).pdf)
[09.3. On Cayley Enumeration of Alkanes (or 4-Valent Trees)](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/09.3%20On%20Cayley%20Enumeration%20of%20Alkanes%20(or%204-Valent%20Trees).pdf)

10|2021-05-13|[10.1. Combinatorial Optimization and Combinatorial Structure in Computational Biology](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/10.1%20Combinatorial%20Optimization%20and%20Combinatorial%20Structure%20in%20Computational%20Biology.pdf)
[10.2. Alkanes and Building Plots](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/10.2%20Alkanes%20and%20Building%20Plots.pdf)
[10.3. Number of Melodies](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/L/10.3%20Number%20of%20Melodies.pdf)



## Control Tests & Exams



N|pdf

:-:|:-

01|[2016/2017 Exam preparation](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/01.%20%D0%9F%D0%BE%D0%B4%D0%B3%D0%BE%D1%82%D0%BE%D0%B2%D0%BA%D0%B0%20%D0%B7%D0%B0%20%D0%B8%D0%B7%D0%BF%D0%B8%D1%82%20%D0%BF%D1%80%D0%B5%D0%B7%20%D0%BB%D0%B5%D1%82%D0%BD%D0%B8%D1%8F%20%D1%81%D0%B5%D0%BC%D0%B5%D1%81%D1%82%D1%8A%D1%80%20%D0%BD%D0%B0%202016-2017%20%D1%83%D1%87.%20%D0%B3..pdf)

02|[2016/2017 Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/02.%20%D0%98%D0%B7%D0%BF%D0%B8%D1%82%20%D0%BF%D1%80%D0%B5%D0%B7%20%D0%BB%D0%B5%D1%82%D0%BD%D0%B8%D1%8F%20%D1%81%D0%B5%D0%BC%D0%B5%D1%81%D1%82%D1%8A%D1%80%20%D0%BD%D0%B0%202016-2017%20%D1%83%D1%87.%20%D0%B3..pdf)

03|[2017/2018 Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/03.%20%D0%98%D0%B7%D0%BF%D0%B8%D1%82%20%D0%BF%D1%80%D0%B5%D0%B7%20%D0%BB%D0%B5%D1%82%D0%BD%D0%B8%D1%8F%20%D1%81%D0%B5%D0%BC%D0%B5%D1%81%D1%82%D1%8A%D1%80%20%D0%BD%D0%B0%202017-2018%20%D1%83%D1%87.%20%D0%B3..pdf)

04|[2020-07-13 Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/04.%20%D0%98%D0%B7%D0%BF%D0%B8%D1%82%D0%BD%D0%B0%20%D1%82%D0%B5%D0%BC%D0%B0%20%D0%BE%D1%82%2013%20%D1%8E%D0%BB%D0%B8%202020%20%D0%B3..pdf)

05|[2020-08-17 Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/05.%20%D0%98%D0%B7%D0%BF%D0%B8%D1%82%D0%BD%D0%B0%20%D1%82%D0%B5%D0%BC%D0%B0%20%D0%BE%D1%82%2017%20%D0%B0%D0%B2%D0%B3%D1%83%D1%81%D1%82%202020%20%D0%B3..pdf)

06|[2021-03-27 Control Test – Tasks](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/06.%20%D0%9A%D0%BE%D0%BD%D1%82%D1%80%D1%80%D0%BE%D0%BB%D0%BD%D0%BE%20%D0%BE%D1%82%2027%20%D0%BC%D0%B0%D1%80%D1%82%202021%20%D0%B3.%20%E2%80%93%20%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8.pdf)

07|[2021-03-27 Control Test – Solutions 1](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/07.%20%D0%9A%D0%BE%D0%BD%D1%82%D1%80%D1%80%D0%BE%D0%BB%D0%BD%D0%BE%20%D0%BE%D1%82%2027%20%D0%BC%D0%B0%D1%80%D1%82%202021%20%D0%B3.%20%E2%80%93%20%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F.pdf)

08|[2021-03-27 Control Test – Solutions 2](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/08.%20%D0%9A%D0%BE%D0%BD%D1%82%D1%80%D1%80%D0%BE%D0%BB%D0%BD%D0%BE%20%D0%BE%D1%82%2027%20%D0%BC%D0%B0%D1%80%D1%82%202021%20%D0%B3.%20%E2%80%93%20%D0%BB%D0%B8%D1%87%D0%BD%D0%B8%20%D1%80%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F.pdf)

09|[2021-05-27 Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/09.%20%D0%98%D0%B7%D0%BF%D0%B8%D1%82%D0%BD%D0%B0%20%D1%82%D0%B5%D0%BC%D0%B0%2027%20%D0%BC%D0%B0%D0%B8%CC%86%202021%20%D0%B3.pdf)

10|[2021-08-27 Final Exam](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Control%20Tests%20and%20Exams/10.%20%D0%9F%D0%BE%D0%BF%D1%80%D0%B0%D0%B2%D0%B8%D1%82%D0%B5%D0%BB%D0%BD%D0%B0%20%D0%B8%D0%B7%D0%BF%D0%B8%D1%82%D0%BD%D0%B0%20%D1%82%D0%B5%D0%BC%D0%B0%20%D0%BF%D0%BE%20%D0%98%D0%9A%D0%93%D0%A2%2027%20%D0%B0%D0%B2%D0%B3%D1%83%D1%81%D1%82%202021.pdf)



## Reports



N|pdf

:-:|:-

01|[Брой Многочлени с P(2)=n](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/01.%20%D0%91%D1%80%D0%BE%D0%B8%CC%86%20%D0%9C%D0%BD%D0%BE%D0%B3%D0%BE%D1%87%D0%BB%D0%B5%D0%BD%D0%B8%20%D1%81%20P(2)%3Dn.pdf)

02|[Асимптотика на p(n,k)](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/02.%20%D0%90%D1%81%D0%B8%D0%BC%D0%BF%D1%82%D0%BE%D1%82%D0%B8%D0%BA%D0%B0%20%D0%BD%D0%B0%20p(n%2Ck).pdf)

03|[Вероятност две произволни естествени числа да са взаимнопрости](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/03.%20Coprime%20Natural%20Numbers%20Probability.pdf)

04|[Числа на Лах](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/04.%20Lah%20Numbers.pdf)

05|[Оцветяване на граф. Числа на Рамзи. Числа на Фолкман](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/05.%20Coloring%20Graph.%20Ramsey%20Numbers.%20Folkman%20Numbers.pdf)

06|[Теорема на Хол. (2011-07-31) IMC, Blagoevgrad, Bulgaria](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/06.%20Hall%20Theorem%20(IMC%202011%2C%20Blagoevgrad%2C%20Bulgaria).pdf)

07|[Теорема на Хол. Задача за разпределяне на предмети](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/07.%20Hall%20Theorem%20(Christmas%20Presents).pdf)

08|[Задача от националната олимпиада на САШ 1986. Пораждащи функции](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/08.%20Partitions%20of%20Integers%20and%20Generating%20Functions%20%20(USAMO%201986).pdf)

09|[Пораждащи функции на множества](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/09.%20Generating%20Functions%20of%20Sets.pdf)

10|[ЗМС, 2008 – Зад. 10.3](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/10.%20%D0%97%D0%9C%D0%A1%2C%202008%20%E2%80%93%20%D0%97%D0%B0%D0%B4.%2010.3.pdf)

11|[Стратегии. Затворници и кутии](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/11.%20Prisoners%20and%20Boxes.pdf)

12|[Покритие с фигури. Куки. MOM 2004](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/12.%20Hooks%20(IMO%202004)%20C7%20EST.pdf)

13|[Граф на Петерсен](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/13.%20Petersen%20Graph.pdf)

14|[Неизоморфни графи с много сходства](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/14.%20Non-isomorphic%20Graphs%20with%20many%20similarities.pdf)

15|[Фалшива монета](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/15.%20Fake%20Coin.pdf)

16|[Задача за двуделен граф. 63-та НОМ, България](https://github.com/andy489/Selected_Chapters_from_Combinatorics_and_Graph_Theory/blob/main/Reports/16.%20%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B0%20%D0%B7%D0%B0%20%D0%B4%D0%B2%D1%83%D0%B4%D0%B5%D0%BB%D0%B5%D0%BD%20%D0%B3%D1%80%D0%B0%D1%84.pdf)