TY - BOOK AU - Noga Alon AU - Joel H. Spencer TI - The probabilistic methods SN - 9781119061953 AV - QA164 PY - 2016/// CY - New Jersey PB - John Wiley & Sons N1 - PART I METHODS 1 The Basic Method 2 Linearity of Expectation 3 Alterations 4 The Second Moment 5 The Local Lemma 6 Correlation Inequalities 7 Martingales and Tight Concentration 8 The Poisson Paradigm 9 Quasirandomness PART II TOPICS 10 Random Graphs 11 The Erd˝os–Rényi Phase Transition 12 Circuit Complexityc 13 Discrepancy 14 Geometry 15 Codes, Games, and Entropy 16 Derandomization 17 Graph Property Testing N2 - Maintaining a standard of excellence that establishes The Probabilistic Method as the leading reference on probabilistic methods in combinatorics, the Fourth Edition continues to feature a clear writing style, illustrative examples, and illuminating exercises. The new edition includes numerous updates to reflect the most recent developments and advances in discrete mathematics and the connections to other areas in mathematics, theoretical computer science, and statistical physics. --- summary provided by publisher ER -