Lessons in Enumerative Combinatorics


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Description

1. Basic Combinatorial Structures.- 2. Partitions and Generating Functions.- 3. Planar Trees and the Lagrange Inversion Formula.- 4. Cayley Trees.- 5. The Cayley-Hamilton Theorem.- 6. Exponential Structures and Polynomial Operators.- 7. The Inclusion-Exclusion Principle.- 8. Graphs, Chromatic Polynomials and Acyclic Orientations.- 9. Matching and Distinct Representatives.

Author: Ömer Eğecioğlu, Adriano M. Garsia
Publisher: Springer
Published: 05/14/2022
Pages: 479
Binding Type: Paperback
Weight: 1.52lbs
Size: 9.21h x 6.14w x 1.00d
ISBN13: 9783030712525
ISBN10: 3030712524
BISAC Categories:
- Mathematics | Discrete Mathematics
- Mathematics | Logic

About the Author

Ömer Eğecioğlu is Professor of Computer Science at the University of California, Santa Barbara. His research interests include bijective and enumerative combinatorics, algorithms, and computational geometry.

Adriano Garsia is Professor Emeritus of Mathematics at the University of California, San Diego. He is renowned for his contributions to algebraic combinatorics, representation theory, and analysis. His wide-ranging research achievements are complemented by a lifelong enthusiasm for teaching and mentoring.

Together, the authors have previously published Lectures in Algebraic Combinatorics (2020) in the series Lecture Notes in Mathematics.

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