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Discrete Mathematics and Its Applications


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Combinatorics and Number Theory of Counting Sequences

Combinatorics and Number Theory of Counting Sequences

1st Edition

Forthcoming

Istvan Mezo
July 23, 2019

Combinatorialists are seldom aware of number theoretical tools, and number theorists rarely aware of the possible combinatorial applications. This book is accessible for both of the groups. The first part introduces several important counting sequences and studies their properties in detail. The...

The Art of Proving Binomial Identities

The Art of Proving Binomial Identities

1st Edition

Michael Z. Spivey
May 14, 2019

The book has two goals: (1) Provide a unified treatment of the binomial coefficients, and (2) Bring together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas of mathematics: combinatorics, of course,...

Volumetric Discrete Geometry

Volumetric Discrete Geometry

1st Edition

Karoly Bezdek, Zsolt Langi
April 24, 2019

Volume of geometric objects plays an important role in applied and theoretical mathematics. This is particularly true in the relatively new branch of discrete geometry, where volume is often used to find new topics for research. Volumetric Discrete Geometry demonstrates the recent aspects of volume...

Computational Complexity of Counting and Sampling

Computational Complexity of Counting and Sampling

1st Edition

Istvan Miklos
February 20, 2019

Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the...

The Mathematics of Chip-Firing

The Mathematics of Chip-Firing

1st Edition

Caroline J. Klivans
November 21, 2018

The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very...

Extremal Finite Set Theory

Extremal Finite Set Theory

1st Edition

Daniel Gerbner, Balazs Patkos
October 09, 2018

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on...

Introduction to Coding Theory

Introduction to Coding Theory

1st Edition

Jurgen Bierbrauer
October 03, 2018

Although its roots lie in information theory, the applications of coding theory now extend to statistics, cryptography, and many areas of pure mathematics, as well as pervading large parts of theoretical computer science, from universal hashing to numerical integration.Introduction to Coding Theory...

Introduction to Chemical Graph Theory

Introduction to Chemical Graph Theory

1st Edition

Stephan Wagner, Hua Wang
September 18, 2018

Introduction to Chemical Graph Theory is a concise introduction to the main topics and techniques in chemical graph theory, specifically the theory of topological indices. These include distance-based, degree-based, and counting-based indices. The book covers some of the most commonly used...

Handbook of Geometric Constraint Systems Principles

Handbook of Geometric Constraint Systems Principles

1st Edition

Meera Sitharam, Audrey St. John, Jessica Sidman
July 25, 2018

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both...

Algorithmics of Nonuniformity: Tools and Paradigms

Algorithmics of Nonuniformity: Tools and Paradigms

1st Edition

Micha Hofri, Hosam Mahmoud
July 17, 2018

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them. Traditionally, algorithmics have been approached either via a probabilistic view or an analytic approach. The authors adopt both approaches and bring them together to...

Additive Combinatorics: A Menu of Research Problems

Additive Combinatorics: A Menu of Research Problems

1st Edition

Bela Bajnok
April 23, 2018

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written the book specifically for students of any background and proficiency level, from...

Graph Searching Games and Probabilistic Methods

Graph Searching Games and Probabilistic Methods

1st Edition

Anthony Bonato, Pawel Pralat
December 27, 2017

Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors,...

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