Discrete Mathematics and Its Applications
Combinatorics and Number Theory of Counting Sequences
1st Edition
By Istvan Mezo
January 21, 2023
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 ...
Crossing Numbers of Graphs
1st Edition
By Marcus Schaefer
January 21, 2023
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 ...
Extremal Finite Set Theory
1st Edition
By Daniel Gerbner, Balazs Patkos
January 21, 2023
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 ...
Graph Searching Games and Probabilistic Methods
1st Edition
By Anthony Bonato, Pawel Pralat
January 21, 2023
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, ...
Graphs, Algorithms, and Optimization
2nd Edition
By William Kocay, Donald L. Kreher
January 21, 2023
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. ...
Introduction to Chemical Graph Theory
1st Edition
By Stephan Wagner, Hua Wang
January 21, 2023
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 ...
Introduction to Coding Theory
2nd Edition
By Jurgen Bierbrauer
January 21, 2023
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 Combinatorics
2nd Edition
By Walter D. Wallis, John C. George
January 21, 2023
What Is Combinatorics Anyway?Broadly speaking, combinatorics is the branch of mathematics dealingwith different ways of selecting objects from a set or arranging objects. Ittries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be ...
Representation Theory of Symmetric Groups
1st Edition
By Pierre-Loic Meliot
January 21, 2023
Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on the subject of symmetric groups and representation theory. Utilizing new research and results, this book can be studied from a combinatorial, algorithmic or algebraic viewpoint. This book is an excellent way ...
The Art of Proving Binomial Identities
1st Edition
By Michael Z. Spivey
January 21, 2023
The Art of Proving Binomial Identities accomplishes two goals: (1) It provides a unified treatment of the binomial coefficients, and (2) Brings together much of the undergraduate mathematics curriculum via one theme (the binomial coefficients). The binomial coefficients arise in a variety of areas ...
Volumetric Discrete Geometry
1st Edition
By Karoly Bezdek, Zsolt Langi
January 21, 2023
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...
Graph Theory: An Introduction to Proofs, Algorithms, and Applications
1st Edition
By Karin R Saoub
March 17, 2021
Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue...