Vieweg Advanced Lectures in Mathematics 2010; 187 pp; softcover ISBN10: 3528032197 ISBN13: 9783528032197 List Price: US$53 Member Price: US$47.70 Order Code: VWALM/11
 This 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. This book aims to help make these exciting problems attractive to advanced students and researchers. A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan. Readership Graduate students and research mathematicians interested in discrete mathematics and mathematical physics. 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
 Bibliography
 List of figures
 Index
