Combinatorics and graph theory

This book explores topics in Gallai-Ramsey theory, which looks into whether rainbow colored subgraphs or monochromatic subgraphs exist in a sufficiently large edge-colored complete graphs.

This book gives the state-of-the-art on transversals in linear uniform hypergraphs.

These three lectures cover a certain aspect of complexity and black holes, namely the relation to the second law of thermodynamics.

This book explores the impact of nonlinearity on a broad range of areas, including time-honored fields such as biology, geometry, and topology, but also modern ones such as quantum mechanics, networks, metamaterials and artificial intelligence.

Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions.

This volume highlights the mathematical research presented at the 2019 Association for Women in Mathematics (AWM) Research Symposium held at Rice University, April 6-7, 2019.

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 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 contributions included in the volume are drawn from presentations at ODS2019 - International Conference on Optimization and Decision Science, which was the 49th annual meeting of the Italian Operations Research Society (AIRO) held at Genoa, Italy, on 4-7 September 2019.

The focus of this thesis are synchronization phenomena in networks and their intrinsic control through time delay, which is ubiquitous in real-world systems ranging from physics and acoustics to neuroscience and engineering.

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.

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

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 is in honor of the 80th birthday of Stephen Hedetniemi.

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

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This book introduces new methods to analyze vertex-varying graph signals.

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

This book aims to bring together researchers and practitioners working across domains and research disciplines to measure, model, and visualize complex networks.

This book describes the methodologies and tools used to conduct social cyber forensic analysis.

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

This book presents collaborative research presented by experts in the field of nonlinear science provides the reader with contemporary, cutting-edge, research works that bridge the gap between theory and device realizations of nonlinear phenomena.

This book uses rigorous mathematical analysis to advance opinion dynamics models for social networks in three major directions.

This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories.

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

This book introduces new methods to analyze vertex-varying graph signals.

This book is the first systematic study of graphical enumeration and the asymptotic algebraic structures in perturbative quantum field theory.

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.

This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability.

The most recent methods in various branches of lattice path and enumerative combinatorics along with relevant applications are nicely grouped together and represented in this research contributed volume.

This contributed book has a comprehensive collection of 17 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications.

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.

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.

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

The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups.

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

Construct, analyze, and visualize networks with networkx, a Python language module.

Construct, analyze, and visualize networks with networkx, a Python language module.

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.

This book describes Python3 programming resources for implementing decision aiding algorithms in the context of a bipolar-valued outranking approach.

This book focuses on the emergence of creative ideas from cognitive and social dynamics.

This combinatorics text provides in-depth coverage of recurrences, generating functions, partitions, and permutations, along with some of the most interesting graph and network topics, design constructions, and finite geometries.

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

Combinatorial theory is one of the fastest growing areas of modern mathematics.

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

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