**Topics in Algebraic Combinatorics**

by Richard P. Stanley

**Publisher**: MIT 2013**Number of pages**: 127

**Description**:

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:

**Download link**

(1.2MB, PDF)

## Similar books

**Foundations of Combinatorics with Applications**

by

**Edward A. Bender, S. Gill Williamson**-

**Dover Publications**

This introduction to combinatorics, the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. Some ability to construct proofs is assumed.

(

**5552**views)

**Combinatorial Maps: Tutorial**

by

**Dainis Zeps**-

**Latvian University**

Contents: Permutations; Combinatorial maps; The correspondence between combinatorial maps and graphs on surfaces; Map's mirror reflection and dual map; Multiplication of combinatorial maps; Normalized combinatorial maps; Geometrical interpretation...

(

**2402**views)

**Enumerative Combinatorics: Volume 1**

by

**Richard P. Stanley**-

**MIT**

The standard guide to the topic for students and experts alike. The material in Volume 1 was chosen to cover those parts of enumerative combinatorics of greatest applicability and with the most important connections with other areas of mathematics.

(

**1734**views)

**Combinatorial Theory**

by

**Gian-Carlo Rota**

In 1998, Gian-Carlo Rota gave his famous course at MIT. John N. Guidi took notes in a verbatim manner conveying the substance of the course. Topics covered included sets, relations, enumeration, order, matching, matroids, and geometric probability.

(

**1173**views)