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Discrete Mathematics and Its Applications


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Polynomials in Finite Geometry

Polynomials in Finite Geometry

1st Edition

Forthcoming

Peter Sziklai
March 01, 2019

The main topic is what the title indicates: to collect, survey and categorize the results and theories achieved in the last 30 years with “polynomial methods”, mostly (but not exclusively) in finite geometries. It contains techniques based on the careful examination of coefficients of polynomials,...

Computational Complexity of Counting and Sampling

Computational Complexity of Counting and Sampling

1st Edition

Forthcoming

Istvan Miklos
December 18, 2018

The purpose of the book is to give a comprehensive and detailed introduction to the computational complexity of counting and sampling. It starts with the basics (from the algorithmic point of view: dynamic programming algorithms; from the theoretical computer science point of view: P, NP,...

The Mathematics of Chip-Firing

The Mathematics of Chip-Firing

1st Edition

Forthcoming

Caroline J. Klivans
November 26, 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 16, 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 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,...

Crossing Numbers of Graphs

Crossing Numbers of Graphs

1st Edition

Marcus Schaefer
December 05, 2017

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and...

Handbook of Discrete and Combinatorial Mathematics

Handbook of Discrete and Combinatorial Mathematics

2nd Edition

Kenneth H. Rosen
December 01, 2017

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...

Handbook of Discrete and Computational Geometry

Handbook of Discrete and Computational Geometry

3rd Edition

Csaba D. Toth, Joseph O'Rourke, Jacob E. Goodman
November 09, 2017

The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use...

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