Description

Book Synopsis
The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently.
It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.

Table of Contents
Basic concepts - Introduction to Graph Theory - Trees and electrical networks – Matroids - Geometric representations of graphs - Game of dualities - The zeta function and graph polynomials – Knots - 2D Ising and dimer models

Discrete Mathematics in Statistical Physics:

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    A Paperback / softback by Martin Loebl

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      Book details

      Publisher Springer Fachmedien Wiesbaden
      Published 27 October 2009
      ISBN-13 9783528032197
      978-3528032197
      ISBN-10 3528032197

      Description

      Book Synopsis
      The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently.
      It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers.

      Table of Contents
      Basic concepts - Introduction to Graph Theory - Trees and electrical networks – Matroids - Geometric representations of graphs - Game of dualities - The zeta function and graph polynomials – Knots - 2D Ising and dimer models

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