Combinatorics and graph theory

This monograph is devoted to the study of Polygroup Theory.

This book contains contributions presented at the 13th International Conference on Complex Networks (CompleNet), April 19-22, 2022.

Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms).

This text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers.

Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms).

This text is a comprehensive survey of the literature surrounding star-critical Ramsey numbers.

Vector Partitions, Visible Points and Ramanujan Functions offers a novel theory of Vector Partitions, though very much grounded in the long-established work of others, that could be developed as an extension to the existing theory of Integer Partitions.

Percolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties.

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

This volume in the Encyclopedia of Complexity and Systems Science (ECSS) covers such fascinating and practical topics as (i) Vehicular traffic flow theory, (ii) Studies of real field traffic data, (iii) Complex phenomena of self-organization in vehicular traffic, (iv) Effect of automatic driving (self-driving vehicles) on traffic flow, v) Complex dynamics of city traffic, (vi) Dynamic control and optimization of traffic and transportation networks, including dynamic traffic assignment in the network, (vii) Pedestrian traffic, (viii) Evacuation scenarios, and (ix) Network characteristics of air control.

Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization.

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.

This book builds on two recently published books by the same authors on fuzzy graph theory.

This book focuses on the theoretical side of temporal network research and gives an overview of the state of the art in the field.

This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

This book depicts graph labelings that have led to thought-provoking problems and conjectures.

Magic and antimagic labelings are among the oldest labeling schemes in graph theory.

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

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results.

This book describes new theories and applications of artificial neural networks, with a special focus on addressing problems in neuroscience, biology and biophysics and cognitive research.

The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for the Mathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada, during June 5-30, 2017.

This book reports on the development and assessment of a novel framework for studying neural interactions (the connectome) and their dynamics (the chronnectome).

The book includes both invited and contributed chapters dealing with advanced methods and theoretical development for the analysis of social networks and applications in numerous disciplines.

This book aims to bring together researchers and practitioners from diverse disciplines-from sociology, biology, physics, and computer science-who share a passion to better understand the interdependencies within and across systems.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications.

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 presents interdisciplinary, cutting-edge and creative applications of graph theory and modeling in science, technology, architecture and art.

This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

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).

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

This book presents the state-of-the-art in various aspects of analysis and mining of online social networks.

This book provides a detailed description of network science concepts applied to power systems and electricity markets, offering an appropriate blend of theoretical background and practical applications for operation and power system planning.

This edited volume presents advances in modeling and computational analysis techniques related to networks and online communities.

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.

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

This book systematically interprets and documents new, unifying principles and basic laws describing the most relevant aspects of hierarchy.

This brief investigates the asymptotic behavior of some PDEs on networks.

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This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups.

This book is a timely collection of chapters that present the state of the art within the analysis and application of big data.

This book reports on advanced concepts in fuzzy graph theory, showing a set of tools that can be successfully applied to understanding and modeling illegal human trafficking.

Mahler measure, a height function for polynomials, is the central theme of this book.

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 book highlights cutting-edge research in the field of network science, offering scientists, researchers, students, and practitioners a unique update on the latest advances in theory and a multitude of applications.

Many different fractal dimensions have been proposed for networks.

The book studies the existing and potential connections between Social Network Analysis (SNA) and Formal Concept Analysis (FCA) by showing how standard SNA techniques, usually based on graph theory, can be supplemented by FCA methods, which rely on lattice theory.

This book provides a complete introduction into spatial networks.

A comprehensive survey of proper connection of graphs is discussed in this book with real world applications in computer science and network security.