Combinatorial Theory and Statistical Design

Partial table of contents: Ways to Choose. The Essentials of Counting. Occupancy. More on Counting. Exercises. Historical Notes. References. Generating Functions. The Formal Power Series. The Combinatorial Meaning of Convolution. Exercises. Generating Functions for Stirling Numbers. Bell Polynomials. Recurrence Relations. Exercises. The Generating Function of Spanning Trees. Exercises. Partitions of an Integer. Exercises. A Generating Function for Solutions of Diophantine Systems in Nonnegative Integers. Historical Notes. References. Classical Inversion. Inversion in the Vector Space of Polynomials. Taylor Expansions. Exercises. Formal Laurent Series. Multivariate Laurent Series. Exercises. The Ordinary Generating Function. Exercises. The Gaussian Polynomials. Exercises. Notes. References. Graphs. Cycles, Trails, and Complete Subgraphs. Exercises. Strongly Regular Graphs. Exercises. Spectra, Walks, and Oriented Cycles. Index.Constantine, Gregory M. is the author of 'Combinatorial Theory and Statistical Design', published 1987 under ISBN 9780471840978 and ISBN 0471840971.