This handbook presents a thorough introduction to current topics of mathematical research in combinatorial algebraic geo......more

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Graph theory and especially the study of graph homomorphisms has developed exponentially in the last couple of decades. ......more

Graph theory and especially the study of graph homomorphisms has developed exponentially in the last couple of decades. ......more

This book is an introduction to discrete mathematics with a strong emphasis on formal reasoning. Beginning with the fund......more

This volume introduces the representation theory and Auslander-Reiten theory of certain finite dimensional algebras. The......more

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This class-tested textbook provides a comprehensive and accessible introduction to discrete systems. The author uses ill......more

Graphs are foundational to combinatorics, modeling relationships across disciplines, from communication networks and soc......more

Kirchhoff graphs are a new type of graph, one whose edges are vectors. They depict the dependencies in sets of vectors, ......more

This book uncovers the innovative features of complex algebra i.e., the octonion -sparse concept in image processing and......more

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted ......more

Number theory could be divided into additive number theory and multiplicative number theory. In this book we raise the s......more

Graph Theory is a branch of mathematics that investigates graphs, which are abstract structures composed of vertices (no......more

Introduction to Modern Cryptography is the most relied-upon source in the field. The book provides a mathematically rigo......more

Drawing from their collective experience as math enthusiasts, the authors, who are co-founders of Mathematical Circus, h......more

"Integral Identities Involving Zonal Polynomials" presents a detailed exploration of integral identities within the cont......more

"Integral Identities Involving Zonal Polynomials" presents a detailed exploration of integral identities within the cont......more

"Variable Dimension Complexes, Part II: A Unified Approach to Some Combinatorial Lemmas in Topology" presents a rigorous......more

The United States Air Force commissions new officers as they complete their undergraduate degree or their officer commis......more

The traveling salesman problem (TSP) is a combinatorial optimization problem that is mathematically modeled as a binary ......more

The traveling salesman problem (TSP) is a combinatorial optimization problem that is mathematically modeled as a binary ......more

This research developed the foundation, theory, and framework for a set of analysis techniques to assist decision makers......more

The application of Group Theory to Tabu Search is a new and exciting field of research. This dissertation applies and ex......more

The application of Group Theory to Tabu Search is a new and exciting field of research. This dissertation applies and ex......more

Title: The Knight’s Tour in a continuous and uninterrupted ride over 48 boards or 3072 squares. Adapted from Byron’s "Ma......more

Title: The Knight’s Tour in a continuous and uninterrupted ride over 48 boards or 3072 squares. Adapted from Byron’s "Ma......more

The Nature of Complex Networks provides a systematic introduction to the statistical mechanics of complex networks and t......more

The concept of completely regular codes was introduced by Delsarte in his celebrated 1973 thesis, which created the fiel......more

These award-winning textbook targets the gap between introductory texts in discrete mathematics and advanced graduate te......more

This book aims to provide an introduction to select topics in discrete mathematics at a level appropriate for first or s......more

Analysis and Probability on graphs is an introduction to random graphs, Markov chains on digraphs, entropy of Markov Cha......more

Catalan numbers, named after the French-Belgian mathematician Eugène Charles Catalan (1814-1894), arise in a variety of ......more

A classic knot is an embedded simple loop in 3-dimensional space. It can be described as a 4-valent planar graph or netw......more

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number T......more

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number T......more

A landmark work that belongs on the bookshelf of every researcher working with networks In this classic book, first publ......more

This volume documents the contributions presented at The ICRTMPCS II International Conference on Advances in Mathematica......more

This volume consists of twenty articles stemming from presentations given at the 2023 Integers Conference. They represen......more

Graph Theory is one of the most prolific branches of mathematics, that has immense applications to almost all discipline......more

This useful handbook elucidates the theory and techniques of cryptography and illustrates how to establish and maintain ......more

Winner of an Outstanding Academic Title Award from CHOICE Magazine Most available cryptology books primarily focus on ei......more

Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of ......more

Focusing on a very active area of mathematical research in the last decade, this book presents methods used in the combi......more

This text illustrates algorithms and cryptosystems using examples and the open-source computer algebra system of Sage. I......more

Completely revised, this text shows how to solve numerous classic and other interesting combinatorial problems. The auth......more

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current re......more

Reflecting many of the recent advances and trends in this area, this classroom-tested text covers the core topics in dis......more

Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today’s most prom......more

This self-contained introduction provides a focused tour of the central concepts of cryptography. It delineates cryptogr......more

Designed for a second theoretical course in linear algebra, this text explores a variety of advanced topics in linear al......more

The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical a......more

This book presents results established over the past 40 years on Laplacian matrices of graphs developed using combinator......more

This classroom-tested, student-friendly text covers a diverse array of number theory topics, from the ancient Euclidean ......more

This text teaches students about the role of number theory in pure mathematics and its important applications to cryptog......more

Introduction to Abstract Algebra, Second Edition presents abstract algebra as the main tool underlying discrete mathemat......more

Group theory appears to be a promising source of hard computational problems for deploying new cryptographic constructio......more

Graph Theory is a branch of discrete mathematics. It has many applications to many different areas of Science and Engine......more

This book endeavors to deepen our understanding of lattice path combinatorics, to explore key types of special sequences......more

The third edition of this popular text presents the tools of combinatorics for a first undergraduate course....more

Ramsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey th......more

The Tutte Polynomial touches on nearly every area of combinatorics as well as many other fields, including statistical m......more

Covering the major topics of evolutionary game theory, Game-Theoretical Models in Biology, Second Edition presents both ......more

Detailed review of optimization from first principles, supported by rigorous math and computer science explanations and ......more

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods......more

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much g......more

This book presents methods for the summation of infinite and finite series and the related identities and inversion rela......more

This book has two chapters. The first is a modern or contemporary account of stability theory. A focus is on the local (......more

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the......more

This book will help you learn combinatorics in the most effective way possible - through problem solving. It contains 26......more

This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and......more

Stirling numbers are one of the most known classes of special numbers in Mathematics, especially in Combinatorics and Al......more

Graphs & Digraphs masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercis......more