Combinatorics and graph theory

This is an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

This book presents a cross-disciplinaryapproach to smart grids, offering an invaluable basis for understanding theircomplexity and potential, and for discussing their technical, legal, economic, societal, psychologicaland security aspects.

This book discusses recent developments and the latest research in algebra and related topics.

Network Function Virtualization (NFV) has recently attracted considerable attention from both research and industrial communities.

This book addresses interconnections between contemporary advances in mathematics, especially algebra, with applications in the social sciences and the arts.

An up-to-date, panoramic account of the theory of random walks on groups and graphs, outlining connections with various mathematical fields.

This is the first monograph on codebooks and linear codes from difference sets and almost difference sets.

This book aims to work out the distributed economic operation in smart grids in a systematic way, which ranges from model-based to model-free perspectives.

A close look at the codes and ciphers used by private individuals, spies, governments and industry throughout history.

This book provides a comprehensive introduction to the foundations and frontiers of graph neural networks.

The first really thorough book to discuss this central notion in graph and network theory, emphasizing its algorithmic aspects.

Modern Applications of Graph Theory discusses many cutting-edge applications of graph theory, such as traffic networks, navigable networks and optimal routing for emergency response, placement of electric vehicle charging stations, and graph-theoretic methods in molecular epidemiology.

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.

Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics.

This book was motivated by the notion that some of the underlying difficulty in challenging instances of graph-based problems (e.

Thoroughly revised for a one-semester course, this well-known and highly regarded book is an outstanding text for undergraduate discrete mathematics.

The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences.

The discrete mathematics and theoretical computer science communities have recently witnessed explosive growth in the area of algorithmic combinatorics on words.

Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas.

This book presents fifteen carefully edited expository chapters in the rapidly expanding area of algorithmic graph theory.

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory.

A unified and comprehensive exposition of the theory of symmetric designs with emphasis on recent developments.

Designed for advanced undergraduate and beginning graduate students in linear or abstract algebra, Advanced Linear Algebra covers theoretical aspects of the subject, along with examples, computations, and proofs.

The Encyclopedia of Social Network Analysis and Mining (ESNAM) is the first major reference work to integrate fundamental concepts and research directions in the areas of social networks and applications to data mining.

Graphs & Digraphs, Seventh Edition masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory.

The cell cycle is a sequence of biochemical events that are controlled by complex but robust molecular machinery.

This book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications.

Gottfried Wilhelm Leibniz: The Polymath Who Brought Us Calculus focuses on the life and accomplishments of one of the seventeenth century's most influential mathematicians and philosophers.

This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas.

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.

This book collects the works presented at the 8th International Conference on Complex Networks (CompleNet) 2017 in Dubrovnik, Croatia, on March 21-24, 2017.

This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before.

This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference.

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.

This book is a short introduction to power system planning and operation using advanced geometrical methods.

This handbook is the first to present a unified, comprehensive treatment of graph theory, combinatorial optimization, and related algorithmic issues.

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

Combinatorial Scientific Computing explores the latest research on creating algorithms and software tools to solve key combinatorial problems on large-scale high-performance computing architectures.

This book provides a foundation for the mathematics of blockchain.

The book reviews inequalities for weighted entry sums of matrix powers.

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

This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.

This collaborative volume presents trends arising from the fruitful interaction between combinatorics on words, automata and number theory.

The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics.

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.