Grad Combinatorics Texts: Cameron & Van Lint-Wilson

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SUMMARY

The discussion centers on recommended graduate-level introductory combinatorics texts, specifically highlighting "Combinatorics" by Paul Cameron and "A Course in Combinatorics" by Van Lint and Wilson as solid choices. Additionally, the conversation emphasizes the importance of understanding mathematical physics techniques, particularly in relation to two-dimensional lattice models and the Yang-Baxter equation. The book "Exactly Solved Models in Statistical Mechanics" by Rodney Baxter is mentioned as a free resource, although it is noted that Baxter does not refer to his equation as the "Yang-Baxter" equation.

PREREQUISITES
  • Familiarity with combinatorial concepts and terminology
  • Understanding of graph theory, particularly as discussed in Diestel's work
  • Basic knowledge of mathematical physics techniques
  • Awareness of lattice models and their applications in statistical mechanics
NEXT STEPS
  • Explore "Combinatorics" by Paul Cameron for foundational concepts
  • Study "A Course in Combinatorics" by Van Lint and Wilson for advanced combinatorial techniques
  • Research the Yang-Baxter equation and its applications in mathematical physics
  • Download and analyze "Exactly Solved Models in Statistical Mechanics" by Rodney Baxter
USEFUL FOR

Graduate students in mathematics, combinatorial theorists, mathematical physicists, and anyone interested in advanced combinatorial techniques and their applications in statistical mechanics.

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What's a good graduate level introductory combinatorics text. I've been looking at Cameron and Van Lint-Wilson, they seem like sound texts. Do you guys have any recommendations?
 
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Diestel - Graph Theory
 
You also need to study mathematical physics techniques used to solve 2 dimensional lattice models, like the Yang-Baxter equation, Fermionic methods using the Pfaffian, etc. You can dowload the book: "Exactly Solved Models in Statistical Mechanics" by Baxter free of charge from this site:


http://tpsrv.anu.edu.au/Members/baxter/book

Note that Baxter doesn't call his own equation the "Yang-Baxter" equation in his own book.
 

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