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Discrete Mathematics and Its Applications


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Extremal Finite Set Theory

Extremal Finite Set Theory

Forthcoming

Daniel Gerbner, Balazs Patkos
September 27, 2018

The book will survey 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, combinatorial nullstellensatz, etc.) used in the different subtopics. Chapters of the book...

Introduction to Chemical Graph Theory

Introduction to Chemical Graph Theory

Forthcoming

Stephan Wagner, Hua Wang
August 23, 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...

Algorithmics of Nonuniformity: Tools and Paradigms

Algorithmics of Nonuniformity: Tools and Paradigms

Forthcoming

Micha Hofri, Hosam Mahmoud
June 29, 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...

Handbook of Geometric Constraint Systems Principles

Handbook of Geometric Constraint Systems Principles

Forthcoming

Meera Sitharam, Audrey St. John, Jessica Sidman
June 14, 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...

Additive Combinatorics: A Menu of Research Problems

Additive Combinatorics: A Menu of Research Problems

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

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

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, Second Edition

Handbook of Discrete and Combinatorial Mathematics, Second 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, Third Edition

Handbook of Discrete and Computational Geometry, Third 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...

Combinatorics, Second Edition

Combinatorics, Second Edition

Nicholas Loehr
August 18, 2017

Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of...

Handbook of Linear Algebra, Second Edition

Handbook of Linear Algebra, Second Edition

Leslie Hogben
June 28, 2017

With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the...

Combinatorics of Compositions and Words

Combinatorics of Compositions and Words

Silvia Heubach, Toufik Mansour
June 14, 2017

A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance...

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