"Discrete Mathematics in Statistical Physics" offers a comprehensive examination of the connections between discrete mathematics and statistical physics. The book highlights fundamental problems and techniques of combinatorics and their application in statistical physics. It demonstrates how the terminology of both disciplines is interconnected and how these connections can lead to exciting activities in one field from the perspective of the other. The aim of the book is to emphasize the interactions between these two areas as an effective tool, which has led to a strong trend in both research communities in recent years. Additionally, numerous open problems that are considered fundamental are addressed. The book is aimed at advanced students and researchers and seeks to make these fascinating problems accessible and engaging.