Topics in Algebraic Combinatorics
by Richard P. Stanley
Publisher: MIT 2013
Number of pages: 127
Contents: Walks in graphs; Cubes and the Radon transform; Random walks; The Sperner property; Group actions on boolean algebras; Young diagrams and q-binomial coefficients; Enumeration under group action; A glimpse of Young tableaux; The Matrix-Tree Theorem; Eulerian digraphs and oriented trees; Cycles, bonds, and electrical networks; etc.
Download or read it online for free here:
by Philippe Flajolet, Robert Sedgewick - Cambridge University Press
Deals with the the analysis of discrete structures, that emerged over the past years as an essential tool in the understanding of computer programs and models with applications in science. The text contains examples and exercises.
by Louis J. Billera, at al. - Cambridge University Press
The rich combinatorial problems arising from the study of various algebraic structures are the subject of the book. It will present the state of the art to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.
by Percy A. MacMahon - Cambridge University Press
The object of this work is to present an account of theorems in combinatory analysis which are of a perfectly general character, and to shew the connexion between them by as far as possible bringing them together as parts of a general doctrine ...
by Federico Ardila - arXiv
The main goal of this survey is to state clearly and concisely some of the most useful tools in algebraic and geometric enumeration, and to give many examples that quickly and concretely illustrate how to put these tools to use.