Selected topics of combinatorics |
ter |
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Teaching Staff in Charge |
Prof. KASA Zoltan, Ph.D., kasa@cs.ubbcluj.ro |
Aims |
Familiarization with the combinatorics notions, which are not treated in other courses. |
Content |
1. Generalization of combinations and permutations.
2. Generating functions. 3. Counting and enumerating problems. Using generating functions in counting problems. 4. Remarkable numbers in combinatorics (Fibonacci, Catalan, Stirlin, Bell) 5. Principles in combinatorisc. 6. Combinatorics of words. Complexity of finite and infinitye words. |
References |
1. I. Tomescu: Introducere in combinatorica, Ed. Tehnica, 1975.
2. Cormen-Leiserson-Rivest: Algoritmusok, Mûszaki Könyvkiadó, Budapest, I. kiadás 1997, II. kiadás 1999, III. kiadás 2000. 3. Kása Zoltán: Matematica discreta, UBB, Cluj, 2001. 4. Lovász László: Kombinatorikai problémák és feladatok, Typotex Kiadó, Budapest, 1999. 5. R. L. Graham-D. E. Knuth-O. Patashnik: Konkrét matematika, Műszaki Kiadó, Budapest, 1998. |
Assessment |
Written exam. |