Combinatorics and graph theory

Graph Theory: An Introduction to Proofs, Algorithms, and ApplicationsGraph theory is the study of interactions, conflicts, and connections.

Many different fractal dimensions have been proposed for networks.

This book provides a foundation for the mathematics of blockchain.

This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics.

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.

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

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).

Like the intriguing Fibonacci and Lucas numbers, Catalan numbers are also ubiquitous.

Buildings are combinatorial constructions successfully exploited to study groups of various types.

Through three editions, Cryptography: Theory and Practice, has been embraced by instructors and students alike.

Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.

This book develops a morphodynamical approach of spatial networks with a particular emphasis on infrastructure networks such as streets, roads and transportation networks (subway, train).

This book provides an interdisciplinary approach to complexity, combining ideas from areas like complex networks, cellular automata, multi-agent systems, self-organization and game theory.

This book contains the proceedings of the 19th Cologne-Twente Workshop on Graphs and Combinatorial Optimization, held during June 20-22, 2023, in Garmisch-Partenkirchen, Germany.

The subject of this book is truly original.

This volume presents the state-of-the-art in selected topics across modern nuclear physics, covering fields of central importance to research and illustrating their connection to many different areas of physics.

The main aim of the book is to give a review of all relevant information regarding a well-known and important problem of Feedback Arc Set (FAS).

The second of two volumes covering the Steenrod algebra and its various applications.

This book presents a thoughtful compilation of chapters derived from the proceedings of the 8th International Arab Conference on Mathematics and Computations (IACMC 2023), held at Zarqa University in Zarqa, Jordan, from 10-12 May 2023.

The first book to systematically introduce the emerging area of phylogenetic combinatorics.

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

The Nagoya 2000 International Workshop gathered together a group of scientists actively working in combinatorics, representation theory, special functions, number theory and mathematical physics, to acquaint the participants with some basic results in their fields and to discuss existing and possible interactions between the mentioned subjects.

Discrete Mathematics with Ducks, Second Edition is a gentle introduction for students who find the proofs and abstractions of mathematics challenging.

Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering.

Die Theorie der regularen Graphen (The Theory of Regular Graphs), written by the Danish Mathematician Julius Petersen in 1891, is often considered the first strictly theoretical paper dealing with graphs.

Algorithmics of Nonuniformity is a solid presentation about the analysis of algorithms, and the data structures that support them.

Most of the articles in this book deal with static or point-to-pointInterconnection Networks.

Good graphs make complex problems clear.

Praise for the First Edition This excellent text should prove a useful accoutrement for any developing mathematics program .

Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections.

Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.

A textbook in combinatorics for second-year undergraduate to beginning graduate students.

Eschewing the often standard dry and static writing style of traditional textbooks, Discrete Encounters provides a refreshing approach to discrete mathematics.

The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject.

A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their ''value''!

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More than 250 exercises and solutions on properties and applications of Catalan numbers, at levels ranging from recreational to research.

This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs.

Graphs and Networks A unique blend of graph theory and network science for mathematicians and data science professionals alike.

This book is the very first one in the English language entirely dedicated to the Lambert W function, its generalizations, and its applications.

Complex system theory is rapidly developing and gaining importance, providing tools and concepts central to our modern understanding of emergent phenomena.

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects.

Discover the Connections between Different Structures and FieldsDiscrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes.

Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking Combinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems.

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.