Abstract: A textbook for a senior undergraduate or an introductory graduate course on Graph Theory, covering the fundamentals, a varied range of applications, and relations between graphs and other areas of Mathematics, such as matrices, vector spaces, matroids, groups, finite topologies, categories.

Abstract: Essentially an introductory textbook for an undergraduate course on Combinatorics. It covers magic, latin and Euler squares, Ackermann functions and related algorithms (chapter 1); binomial and multinomial coefficients and generating functions (chapter 2); measurement and the Shapley-Shubik model (chapter 3); Dirichlet and inclusion/exclusion principles (chapters 4 and 5); partitions, Stirling numbers and related concepts (chapter 6); difference equations (chapter 7); permutation groups (chapter 8); Pólya-Redfield theory of counting (chapter 9).