Polya’s theorem can be used to enumerate objects under permutation groups. Using grouptheory, combinatorics and some examples, Polya’s theorem and Burnside’s lemma arederived. The examples used are a square, pentagon, hexagon and heptagon under theirrespective dihedral groups. Generalization using more permutations and applications tograph theory.Using Polya’s Enumeration theorem, Harary and Palmer [5] give a function whichgives the number of unlabeled graphs n vertices and m edges. We present their work andthe necessary background knowledge.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:lnu-6199 |
| Date | January 2010 |
| Creators | Badar, Muhammad, Iqbal, Ansir |
| Publisher | Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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