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Modern Applications of Graph Theory
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. Due to the rapid growth of research in this field, the focus of the book is on the up-to-date development of these applications and the mathematical methods used to tackle them. Ideal for researchers, engineers, transport planners and emergency response specialists who are interested in graph theory applications, Modern Applications of Graph Theory can also be used as teaching material. In addition to up-to-date descriptions of the applications, it includes extensive exercises and their solutions, mimicking practical, real-life situations. Furthermore, there is an introductory chapter, which provides an overview of basic applications and algorithms of graph theory. The book includes over 120 illustrations and tables.
Methods of Graph Decompositions
In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions discusses some state-of-the-art decomposition methods of graph theory, which are highly instrumental when dealing with a number of fundamental concepts such as unigraphs, isomorphism, reconstruction conjectures, k-dimensional graphs, degree sequences, line graphs and line hypergraphs. The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropri...
Modern Applications of Graph Theory
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. Due to the rapid growth of research in this field, the focus of the book is on the up-to-date development of these applications and the mathematical methods used to tackle them. Ideal for researchers, engineers, transport planners and emergency response specialists who are interested in graph theory applications, Modern Applications of Graph Theory can also be used as teaching material. In addition to up-to-date descriptions of the applications, it includes extensive exercises and their solutions, mimicking practical, real-life situations. Furthermore, there is an introductory chapter, which provides an overview of basic applications and algorithms of graph theory. The book includes over 120 illustrations and tables.
Research Topics in Graph Theory and Its Applications
This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.
Information Theory and Statistical Learning
This interdisciplinary text offers theoretical and practical results of information theoretic methods used in statistical learning. It presents a comprehensive overview of the many different methods that have been developed in numerous contexts.
Topics in Domination in Graphs
This volume comprises 16 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The focus is on primary dominating sets such as paired domination, connected domination, restrained domination, dominating functions, Roman domination, and power domination. Additionally, surveys include known results with a sample of proof techniques for each parameter. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms; the second chapter provides an overview of models of domination from which the parameters are defined. The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments in the field and proof techniques used.
Seamless 3D Navigation in Indoor and Outdoor Spaces
This book presents the current research on space-based navigation models and the contents of spaces used for seamless indoor and outdoor navigation. It elaborates on 3D spaces reconstructed automatically and how indoor, semi-indoor, semi-outdoor, and outdoor spaces can mimic the indoor environments and originate a network based on the 3D connectivity of spaces. Case studies help readers understand theories, approaches, and models, including data preparation, space classification and reconstruction, space selection, unified space-based navigation model derivation, path planning, and comparison of results. Features: Provides novel models, theories, and approaches for seamless indoor and outdoo...
Approximation and Online Algorithms
This book constitutes the thoroughly refereed post-proceedings of the 4th International Workshop on Approximation and Online Algorithms, WAOA 2006, held in Zurich, Switzerland in September 2006 as part of the ALGO 2006 conference event. The 26 revised full papers presented were carefully reviewed and selected from 62 submissions.
Product Lifecycle Management in the Era of Internet of Things
This book constitutes the refereed proceedings of the 12th IFIP WG 5.1 International Conference on Product Lifecycle Management, PLM 2015, held in Doha, Qatar, in October 2015. The 79 revised full papers were carefully reviewed and selected from 130 submissions. The papers are organized in the following topical sections: smart products, assessment approaches, PLM maturity, building information modeling (BIM), languages and ontologies, product service systems, future factory, knowledge creation and management, simulation and virtual environments, sustainability and systems improvement, configuration and engineering change, education studies, cyber-physical and smart systems, design and integration issues, and PLM processes and applications.
Mathematical Reviews
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