Combinatorics and graph theory

This revised and enlarged sixth edition of Proofs from THE BOOK features an entirely new chapter on Van der Waerden's permanent conjecture, as well as additional, highly original and delightful proofs in other chapters.

This monograph identifies polytopes that are "e;combinatorially embeddable"e;, within interesting lists of polytopal graphs, i.

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction.

This volume examines state of the art research in finite geometries and designs.

A Tour Through Graph Theory introduces graph theory to students who are not mathematics majors.

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory.

A comprehensive reference on the theory of variable-length codes and their relation to automata.

Focused on the mathematical foundations of social media analysis, Graph-Based Social Media Analysis provides a comprehensive introduction to the use of graph analysis in the study of social and digital media.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations.

Modern cryptography has evolved dramatically since the 1970s.

Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science.

This volume provides an up-to-date overview of current research across combinatorics,.

This book contains contributions in the area of Network Science, presented at the 14th International Conference on Complex Networks (CompleNet), 24-28 April, 2023 in Aveiro, Portugal.

Many applications in different domains need to calculate the shortest-path between two points in a graph.

This text is about spreading of information and influence in complex networks.

This proceedings book presents state-of-the-art developments in theory, methodology, and applications of network analysis across sociology, computational science, education research, literature studies, political science, international relations, social media research, and urban studies.

The subject of this book is truly original.

Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures.

Combinatorics and finite fields are of great importance in modern applications such as in the analysis of algorithms, in information and communication theory, and in signal processing and coding theory.

This textbook offers a comprehensive introduction to the concepts underpinning our modern understanding of complex and emergent behavior.

Thirty years after RSA was first publicized, it remains an active research area.

A revised and updated version of popular textbook on abstract algebra, including new sections and numerous problems.

This book explores two of the most striking features of quantum theory - contextuality and nonlocality - using a formulation based on graph theory.

This book provides a complete introduction into spatial networks.

Current developments in air pollution modelling are explored as a series of contributions from researchers at the forefront of their field.

The definitive account of the recent computer solution of the oldest problem in discrete geometry.

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.

Boundaries and Hulls of Euclidean Graphs: From Theory to Practice presents concepts and algorithms for finding convex, concave and polygon hulls of Euclidean graphs.

Focused on the mathematical foundations of social media analysis, Graph-Based Social Media Analysis provides a comprehensive introduction to the use of graph analysis in the study of social and digital media.

The Workshop for Women in Graph Theory and Applications was held at the Institute for Mathematics and Its Applications (University of Minnesota, Minneapolis) on August 19-23, 2019.

This monograph covers different aspects of sensor network security including new emerging technologies.

This proceedings book presents state-of-the-art developments in theory, methodology, and applications of network analysis across sociology, computational science, education research, literature studies, political science, international relations, social media research, and urban studies.

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts.

Is it possible to apply a network model to composites with conical inclusions?

This book gives a comprehensive view of graph theory in informational retrieval (IR) and natural language processing(NLP).

This book addresses the challenging topic of modeling adaptive networks, which often manifest inherently complex behavior.

Many different fractal dimensions have been proposed for networks.

The tool for visualization is Microsoft Visual C++.

First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.

Knowledge and expertise, especially of the kind that can shape public opinion, have been traditionally the domain of individuals holding degrees awarded by higher learning institutions or occupying formal positions in notable organizations.

This book is concerned with the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n n matrices over a field K (or, more generally, skew linear semigroups - if K is allowed to be a division ring) and its applications to certain problems on associative algebras, semigroups and linear representations.

This book presents the latest developments in the theory of gradient flows in random walk spaces.

This volume contains selected papers presented at the Summer School and International Conference on Combinatorics.

Modern cryptography has evolved dramatically since the 1970s.

Boolean Structures: Combinatorics, Codification, Representation offers the first analytical and architectural approach to Boolean algebras based combinatorial calculus and codification with applications in IT, quantum information and classification of data.

Updated to reflect current research and extended to cover more advanced topics as well as the basics, Algebraic Number Theory and Fermat's Last Theorem, Fifth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics-the quest for a proof of Fermat's Last Theorem.