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Graphs, Algorithms, and Optimization

de William Kocay, Donald L. Kreher ...

Seria seria Discrete Mathematics and Its Applications
The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. ... Citiți mai mult

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The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory.
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Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

de Kevin Broughan ...

Seria Cartea 165 - Encyclopedia of Mathematics and its Applications
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, ... Citiți mai mult

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The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables,
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Walk Through Combinatorics, A: An Introduction To Enumeration And Graph Theory (Fourth Edition)

de Miklos Bona ...

This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course ... Citiți mai mult

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This is a textbook for an introductory combinatorics course lasting one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course
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Polygroup Theory And Related Systems

de Bijan Davvaz ...

This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in ... Citiți mai mult

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This monograph is devoted to the study of Polygroup Theory. It begins with some basic results concerning group theory and algebraic hyperstructures, which represent the most general algebraic context, in which reality can be modeled. Most results on polygroups are collected in this book. Moreover, this monograph is the first book on this theory. The volume is highly recommended to theoreticians in
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Additive Combinatorics

de Terence Tao, Van H. Vu ...

Seria Cartea 105 - Cambridge Studies in Advanced Mathematics
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring ... Citiți mai mult

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RSA and Public-Key Cryptography

de Richard A. Mollin ...

Although much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applic ... Citiți mai mult

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Although much literature exists on the subject of RSA and public-key cryptography, until now there has been no single source that reveals recent developments in the area at an accessible level. Acclaimed author Richard A. Mollin brings together all of the relevant information available on public-key cryptography (PKC), from RSA to the latest applic
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Combinatorial Designs and their Applications

de Kathleen Quinn, Bridget Webb, Chris Rowley, F.C. Holroyd ...

Seria seria Chapman & Hall/CRC Research Notes in Mathematics Series
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their ... Citiți mai mult

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The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their
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Handbook of Combinatorial Algebraic Geometry

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Editat de Erik Insko, Martha Precup, Edward Richmond ...

Seria seria Discrete Mathematics and Its Applications
This handbook presents a thorough introduction to current topics of mathematical research in combinatorial algebraic geometry. The editors’ aim is to introduce researchers to key literature from the past 20-30 years needed to address open questions in the field. The chapters of Handbook of Combinatorial Algebraic Geometry: Subvarieties of the Flag Variety give concrete, computational examples of ... Citiți mai mult

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Concepts of Combinatorial Optimization

Editat de Vangelis Th. Paschos ...

Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of ... Citiți mai mult

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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of
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Computational Discrete Mathematics

Combinatorics and Graph Theory with Mathematica ®

de Sriram Pemmaraju, Steven Skiena ...

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in ... Citiți mai mult

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This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in
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Random Walks and Heat Kernels on Graphs

de Martin T. Barlow ...

Seria Cartea 438 - London Mathematical Society Lecture Note Series
This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that ... Citiți mai mult

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This introduction to random walks on infinite graphs gives particular emphasis to graphs with polynomial volume growth. It offers an overview of analytic methods, starting with the connection between random walks and electrical resistance, and then proceeding to study the use of isoperimetric and Poincaré inequalities. The book presents rough isometries and looks at the properties of a graph that
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Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem

de Grant Walker, Reginald M. W. Wood ...

Seria Cartea 441 - London Mathematical Society Lecture Note Series
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from ... Citiți mai mult

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This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from
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Enumerative Combinatorics: Volume 2

de Richard P. Stanley, Sergey Fomin ...

Seria Cartea 62 - Cambridge Studies in Advanced Mathematics
This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on ... Citiți mai mult

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This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on
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Topics in Structural Graph Theory

de Ortrud R. Oellermann ...

Seria Cartea 147 - Encyclopedia of Mathematics and its Applications
The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide ... Citiți mai mult

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The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide
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Cryptology

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de Richard Klima, Neil Sigmon, Richard E. Klima, Neil P. Sigmon ...

Seria seria Chapman & Hall/CRC Cryptography and Network Security Series
Cryptology: Classical and Modern, Second Edition proficiently introduces readers to the fascinating field of cryptology. The book covers classical methods including substitution, transposition, Alberti, Vigenère, and Hill ciphers. It also includes coverage of the Enigma machine, Turing bombe, and Navajo code. Additionally, the book presents modern methods like RSA, ElGamal, and stream ciphers, as ... Citiți mai mult

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Perfect Codes and Related Structures

de Tuvi Etzion ...

In this monograph, we develop the theory of one of the most fascinating topics in coding theory, namely, perfect codes and related structures. Perfect codes are considered to be the most beautiful structure in coding theory, at least from the mathematical side. These codes are the largest ones with their given parameters. The book develops the theory of these codes in various metrics — Hamming, ... Citiți mai mult

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In this monograph, we develop the theory of one of the most fascinating topics in coding theory, namely, perfect codes and related structures. Perfect codes are considered to be the most beautiful structure in coding theory, at least from the mathematical side. These codes are the largest ones with their given parameters. The book develops the theory of these codes in various metrics — Hamming,
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Discrete Mathematics with Ducks

de sarah-marie belcastro ...

Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all ... Citiți mai mult

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Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material that instructors can use for more advanced students. The first edition was widely well received, with its whimsical writing style and numerous exercises and materials that engaged students at all
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de Subbalakshmi Devaki ...

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Are you gearing up for the ACT Math section? Do you envision yourself conquering complex equations, confidently tackling geometric problems, and mastering statistics? Your journey to ACT Math excellence begins right here."ACT Math Mastery" isn't just a study guide; it's your key to unlocking the full potential of your ACT Math performance. Whether you're starting your preparation from scratch or ... Citiți mai mult

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Are you gearing up for the ACT Math section? Do you envision yourself conquering complex equations, confidently tackling geometric problems, and mastering statistics? Your journey to ACT Math excellence begins right here."ACT Math Mastery" isn't just a study guide; it's your key to unlocking the full potential of your ACT Math performance. Whether you're starting your preparation from scratch or
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A Combinatorial Approach to Matrix Theory and Its Applications

de Richard A. Brualdi, Dragos Cvetkovic ...

Seria seria Discrete Mathematics and Its Applications
Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this ... Citiți mai mult

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Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices. Placing combinatorial and graph-theoretical tools at the forefront of the development of matrix theory, this
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Methods for the Summation of Series

de Tian-Xiao He ...

Seria seria Discrete Mathematics and Its Applications
This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered.The author’s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation ... Citiți mai mult

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This book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered.The author’s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation
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Introduction to Coding Theory

de Jurgen Bierbrauer ...

Seria seria Discrete Mathematics and Its Applications
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 ... Citiți mai mult

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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
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Handbook of Discrete and Combinatorial Mathematics

Editat de Kenneth H. Rosen ...

Seria seria Discrete Mathematics and Its Applications
Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians.The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of ... Citiți mai mult

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Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians.The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of
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Combinatorics and Number Theory of Counting Sequences

de Istvan Mezo ...

Seria seria Discrete Mathematics and Its Applications
Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them. ... Citiți mai mult

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Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.The presentation prioritizes elementary enumerative proofs. Therefore, parts of the book are designed so that even those high school students and teachers who are interested in combinatorics can have the benefit of them.
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Combinatorial Algorithms

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de Donald L. Kreher, Douglas R. Stinson ...

Seria seria Discrete Mathematics and Its Applications
This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermutationsGraphsDesignsMany classical areas are covered as well as new research topics not included in most existing texts, such as:Group algorithmsGraph isomorphismHill ... Citiți mai mult

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This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as:CombinationsPermutationsGraphsDesignsMany classical areas are covered as well as new research topics not included in most existing texts, such as:Group algorithmsGraph isomorphismHill
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