Cutting-edge coverage of graph theory and geography in a high-tech, user-friendly format Available only as a highly interactive e-book, this revolutionary volume allows mathematicians and geographers to view graph theory in a new and vibrant way. Renowned experts in the field, the authors provide complete, up-to-date coverage of relevant theories using real-world examples to highlight the synthetic nature of graph theory and geography and help professionals and students find new, concrete applications. Theories and definitions are accompanied by complementary chapters that explain the mathematics behind the examples and provide quick reference options. Brilliant, four-color graphics elucidate this comprehensive treatment, while the e-book format allows for uncommon flexibility and ease of use. The electronic format takes full advantage of online tools such as animation and Java; applets to allow readers to follow processes as they happen, while hyperlinks allow readers to move easily through the text for quick reference to theorems or definitions. Available with a free, enhanced e-book reader, Graph Theory and Geography offers comprehensive coverage and unprecedented convenience to readers at almost any level of experience.

Mobility is fundamental to economic and social activities such as commuting, manufacturing, or supplying energy. Each movement has an origin, a potential set of intermediate locations, a destination, and a nature which is linked with geographical attributes. Transport systems composed of infrastructures, modes and terminals are so embedded in the socio-economic life of individuals, institutions and corporations that they are often invisible to the consumer. This is paradoxical as the perceived invisibility of transportation is derived from its efficiency. Understanding how mobility is linked with geography is main the purpose of this book. The third edition of The Geography of Transport Systems has been revised and updated to provide an overview of the spatial aspects of transportation. This text provides greater discussion of security, energy, green logistics, as well as new and updated case studies, a revised content structure, and new figures. Each chapter covers a specific conceptual dimension including networks, modes, terminals, freight transportation, urban transportation and environmental impacts. A final chapter contains core methodologies linked with transport geography such as accessibility, spatial interactions, graph theory and Geographic Information Systems for transportation (GIS-T). This book provides a comprehensive and accessible introduction to the field, with a broad overview of its concepts, methods, and areas of application. The accompanying website for this text contains a useful additional material, including digital maps, PowerPoint slides, databases, and links to further reading and websites. The website can be accessed at: http://people.hofstra.edu/geotrans This text is an essential resource for undergraduates studying transport geography, as well as those interest in economic and urban geography, transport planning and engineering.

The Encyclopedia of GIS provides a comprehensive and authoritative guide, contributed by experts and peer-reviewed for accuracy, and alphabetically arranged for convenient access. The entries explain key software and processes used by geographers and computational scientists. Major overviews are provided for nearly 200 topics: Geoinformatics, Spatial Cognition, and Location-Based Services and more. Shorter entries define specific terms and concepts. The reference will be published as a print volume with abundant black and white art, and simultaneously as an XML online reference with hyperlinked citations, cross-references, four-color art, links to web-based maps, and other interactive features.

Mobility is fundamental to economic and social activities, including commuting, manufacturing, or supplying energy. This book focuses on understanding how mobility is linked with geography. It links spatial constraints and attributes with the origin, destination, extent, nature and purpose of movements.

This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.