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This book presents an enticing introduction to tropical circuits and their use as a rigorous mathematical model for dynamic programming (DP), which is one of the most fundamental algorithmic paradigms for solving combinatorial, discrete optimization problems.
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Extremal Combinatorics provides a concise, up-to-date introduction to extremal combinatorics for nonspecialists. The text emphasizes theorems with particularly elegant and informative proofs, and presents a wide range of combinatorial tools.