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Combinatorics and Graph Theory

Graph theory is the study of graphs (also known as networks), used to model pairwise relations between objects, while combinatorics is an area of mathematics mainly concerned with counting and properties of discrete structures. Both have applications in computer science, data science, biology, social network theory and neuroscience. They are closely related to many other areas of mathematics including algebra, probability, topology, and geometry. Infinite combinatorics is also closely related to set theory.