Séminaire Lotharingien de Combinatoire, B14Sh (1986), p. 56-59.

Adalbert Kerber

On the Basic Problem of Pólya's Theory of Enumeration

Abstract. The problem which stimulated Pólya to develop what now is called his theory of enumeration, and which is in fact a very interesting particular case of the theory of enumeration under finite group action, reads therefore as follows: Enumerate, classify and construct graphs with certain conditions (like degree sequence, certain subgraphs etc. ). We describe several approaches towards solutions of such problems.


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