Dinitz, Handbook of Combinatorial Designs, Second Edition Charalambides, Enumerative Combinatorics Gary Chartrand and Ping Zhang, Chromatic Graph Theory Henri Cohen, Gerhard Frey, et al., Handbook of Elliptic and Hyperelliptic Curve Cryptography Charles J. Brualdi and Drago˘s Cvetkovi´c, A Combinatorial Approach to Matrix Theory and Its Applications Kun-Mao Chao and Bang Ye Wu, Spanning Trees and Optimization Problems Charalambos A. Brown, Discrete Structures and Their Interactions Richard A.
Bauer, Secret History: The Story of Cryptology Jürgen Bierbrauer, Introduction to Coding Theory, Second Edition Katalin Bimbó, Combinatory Logic: Pure, Applied and Typed Katalin Bimbó, Proof Theory: Sequent Calculi and Related Formalisms Donald Bindner and Martin Erickson, A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics Francine Blanchet-Sadri, Algorithmic Combinatorics on Partial Words Miklós Bóna, Combinatorics of Permutations, Second Edition Miklós Bóna, Handbook of Enumerative Combinatorics Miklós Bóna, Introduction to Enumerative and Analytic Combinatorics, Second Edition Jason I.
#DISCRETE MATHEMATICS ENSLEY CHAPTER 2 HOW TO#
Allenby and Alan Slomson, How to Count: An Introduction to Combinatorics, Third Edition Craig P. Miklos Bona Patrice Ossona de Mendez Douglas West R. 1.1 Propositional and Predicate Logic.ġ.6 Axiomatic Program Verification.ġ.7 Logic-Based Computer Programming Paradigms.Ģ.1 Summary of Counting Problems.Ģ.2 Basic Counting Techniques.Ģ.3 Permutations and Combinations.Ģ.6 Burnside/Pólya Counting Formula.Ģ.7 Möbius Inversion Counting.ģ.5 Finite Sums and Summation.ģ.6 Asymptotics of Sequences.ģ.7 Mechanical Summation Procedures.Ĥ.2 Greatest Common Divisors.Ĥ.7 Primitive Roots and Quadratic Residues.Ĥ.9 Diophantine Approximation.Ĥ.10 Algebraic Number Theory.Ħ.6 Combinatorial Matrix Theory.Ħ.7 Singular Value Decomposition.ħ.2 Independence and Dependence.ħ.4 Discrete Probability Computations.ħ.7 Discrete-Time Markov Chains.ħ.11 The Probabilistic Method.Ĩ.4 Distance, Connectivity, Traversability, & Matchings.Ĩ.5 Graph Isomorphism and Reconstruction.Ĩ.6 Graph Colorings, Labelings, & Related Parameters.Ĩ.8 Topological Graph Theory.ĩ.1 Characterizations and Types of Trees.ġ0.1 Minimum Spanning Trees.ġ0.6 Communication Networks.ġ0.7 Difficult Routing and Assignment Problems.ġ0.9 Network Representations and Data Structures.ġ2.2 Symmetric Designs and Finite Geometries.ġ2.3 Latin Squares and Orthogonal Arrays.ġ3: DISCRETE AND COMPUTATIONAL GEOMETRY.ġ3.1 Arrangements of Geometric Objects.ġ3.3 Combinatorial Geometry.ġ3.5 Algorithms and Complexity in Computational Geometry.ġ3.6 Geometric Data Structures and Searching.8ġ3.7 Computational Techniques.7ġ3.8 Applications of Geometry.3ġ4.1 Communication Systems and Information Theory.2ġ4.2 Basics of Coding Theory.6ġ4.8 Quantum Error-Correcting Codes.7ġ5.1 Basics of Cryptography.0ġ5.2 Classical Cryptography.4ġ5.3 Modern Private Key Cryptosystems.8ġ5.5 Public Key Cryptography.5ġ5.6 Cryptographic Mechanisms.7ġ5.7 High-Level Applications of Cryptography.4ġ6.6 Sperner’s Lemma and Fixed Points.2ġ6.7 Combinatorial Auctions.7ġ6.8 Very Large-Scale Neighborhood Search.7ġ7: THEORETICAL COMPUTER SCIENCE.0ġ7.3 Languages and Grammars.5ġ7.4 Algorithmic Complexity.6ġ7.6 Randomized Algorithms.0ġ8: INFORMATION STRUCTURES.8ġ8.2 Concrete Data Structures.4ġ8.3 Sorting and Searching.2ġ8.5 Dynamic Graph Algorithms.0ġ9.1 Data Mining Fundamentals.3ġ9.2 Frequent Itemset Mining and Association Rules.9ġ9.3 Classification Methods.2Ģ0: DISCRETE BIOINFORMATICS.0Ģ0.3 Discrete-Time Dynamical Systems.0Ģ0.6 Combinatorial Neural Codes.8ĭISCRETE AND COMBINATORIAL MATHEMATICS SECOND EDITION
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