Accession Number : AD0696143
Title : THE ENUMERATIVE USES OF GENERATING FUNCTIONS.
Descriptive Note : Technical rept.,
Corporate Author : HARVARD UNIV CAMBRIDGE MASS DEPT OF STATISTICS
Personal Author(s) : Bender,Edward A. ; Goldman,Jay R.
Report Date : 29 SEP 1969
Pagination or Media Count : 23
Abstract : 'Objects' may be viewed as a product of 'prime objects' in such a way that the appropriate type of generating function is immediately suggested by the combinatorial problem. Many graph theory formulae (rooted trees, chromatic labeled graphs, etc) follow easily. Other immediate consequences are e to the power((e to the power x)-1) for partitions of a set, and the enumeration of direct sum decompositions of finite vector spaces. (Author)
Descriptors : (*GRAPHICS, *COMBINATORIAL ANALYSIS), VECTOR SPACES, FUNCTIONS(MATHEMATICS)
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE