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Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs
  • Language: en
  • Pages: 423

Applications of Combinatorial Matrix Theory to Laplacian Matrices of Graphs

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

On the surface, matrix theory and graph theory seem like very different branches of mathematics. However, adjacency, Laplacian, and incidence matrices are commonly used to represent graphs, and many properties of matrices can give us useful information about the structure of graphs.Applications of Combinatorial Matrix Theory to Laplacian Matrices o

Handbook of Enumerative Combinatorics
  • Language: en
  • Pages: 1073

Handbook of Enumerative Combinatorics

  • Type: Book
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  • Published: 2015-03-24
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  • Publisher: CRC Press

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he

Introduction to Coding Theory
  • Language: en
  • Pages: 539

Introduction to Coding Theory

  • Type: Book
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  • Published: 2016-10-14
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  • Publisher: CRC Press

This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory.

Combinatorics of Set Partitions
  • Language: en
  • Pages: 617

Combinatorics of Set Partitions

  • Type: Book
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  • Published: 2012-07-27
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  • Publisher: CRC Press

Focusing on a very active area of mathematical research in the last decade, Combinatorics of Set Partitions presents methods used in the combinatorics of pattern avoidance and pattern enumeration in set partitions. Designed for students and researchers in discrete mathematics, the book is a one-stop reference on the results and research activities of set partitions from 1500 A.D. to today. Each chapter gives historical perspectives and contrasts different approaches, including generating functions, kernel method, block decomposition method, generating tree, and Wilf equivalences. Methods and definitions are illustrated with worked examples and MapleTM code. End-of-chapter problems often draw on data from published papers and the author’s extensive research in this field. The text also explores research directions that extend the results discussed. C++ programs and output tables are listed in the appendices and available for download on the author’s web page.

Cryptology
  • Language: en
  • Pages: 558

Cryptology

  • Type: Book
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  • Published: 2012-06-20
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  • Publisher: CRC Press

Easily Accessible to Students with Nontechnical Backgrounds In a clear, nontechnical manner, Cryptology: Classical and Modern with Maplets explains how fundamental mathematical concepts are the bases of cryptographic algorithms. Designed for students with no background in college-level mathematics, the book assumes minimal mathematical prerequisites and incorporates student-friendly Maplets throughout that provide practical examples of the techniques used. Technology Resource By using the Maplets, students can complete complicated tasks with relative ease. They can encrypt, decrypt, and cryptanalyze messages without the burden of understanding programming or computer syntax. The authors expl...

Handbook of Finite State Based Models and Applications
  • Language: en
  • Pages: 409

Handbook of Finite State Based Models and Applications

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on fini

Secret History
  • Language: en
  • Pages: 603

Secret History

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

Winner of an Outstanding Academic Title Award from CHOICE MagazineMost available cryptology books primarily focus on either mathematics or history. Breaking this mold, Secret History: The Story of Cryptology gives a thorough yet accessible treatment of both the mathematics and history of cryptology. Requiring minimal mathematical prerequisites, the

Combinatorics of Permutations
  • Language: en
  • Pages: 478

Combinatorics of Permutations

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

A Unified Account of Permutations in Modern CombinatoricsA 2006 CHOICE Outstanding Academic Title, the first edition of this bestseller was lauded for its detailed yet engaging treatment of permutations. Providing more than enough material for a one-semester course, Combinatorics of Permutations, Second Edition continues to clearly show the usefuln

Computational Number Theory
  • Language: en
  • Pages: 602

Computational Number Theory

  • Type: Book
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  • Published: 2016-04-19
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  • Publisher: CRC Press

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract

Algebraic Curves in Cryptography
  • Language: en
  • Pages: 333

Algebraic Curves in Cryptography

  • Type: Book
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  • Published: 2013-06-13
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  • Publisher: CRC Press

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic applications, such as secret sh