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  • A Textbook of Graph Theory

    Series series Mathematics and Statistics (R0)
    This second edition includes two new chapters: one on domination in graphs and the other on the spectral properties of graphs, the latter including a discussion on graph energy. The chapter on graph colorings has been enlarged, covering additional topics such as homomorphisms and colorings and the uniqueness of the Mycielskian up to isomorphism.This book also introduces several interesting topics ... Read more

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  • The Fascinating World of Graph Theory

    The history, formulas, and most famous puzzles of graph theoryGraph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous ... Read more

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  • Introduction to Computational Social Science

    Principles and Applications

    Series series Computer Science (R0)
    This reader-friendly textbook is the first work of its kind to provide a unified Introduction to Computational Social Science (CSS). Four distinct methodological approaches are examined in detail, namely automated social information extraction, social network analysis, social complexity theory and social simulation modeling. The coverage of these approaches is supported by a discussion of the ... Read more

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  • Social Network Analysis Applied to Team Sports Analysis

    Series series Engineering (R0)
    Explaining how graph theory and social network analysis can be applied to team sports analysis,This book presents useful approaches, models and methods that can be used to characterise the overall properties of team networks and identify the prominence of each team player.Exploring the different possible network metrics that can be utilised in sports analysis, their possible applications and ... Read more

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  • Visual Reasoning with Diagrams

    Series series Mathematics and Statistics (R0)
    Logic, the discipline that explores valid reasoning, does not need to be limited to a specific form of representation but should include any form as long as it allows us to draw sound conclusions from given information. The use of diagrams has a long but unequal history in logic: The golden age of diagrammatic logic of the 19th century thanks to Euler and Venn diagrams was followed by the early ... Read more

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  • Introduction to Averaging Dynamics over Networks

    Series series Engineering (R0)
    This book deals with averaging dynamics, a paradigmatic example of network based dynamics in multi-agent systems. The book presents all the fundamental results on linear averaging dynamics, proposing a unified and updated viewpoint of many models and convergence results scattered in the literature.Starting from the classical evolution of the powers of a fixed stochastic matrix, the text then ... Read more

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  • Submodular Rate Region Models for Multicast Communication in Wireless Networks

    Series series Engineering (R0)
    This book proposes representations of multicast rate regions in wireless networks based on the mathematical concept of submodular functions, e.g., the submodular cut model and the polymatroid broadcast model. These models subsume and generalize the graph and hypergraph models. The submodular structure facilitates a dual decomposition approach to network utility maximization problems, which ... Read more

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  • Graphs on Surfaces

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    Series series Mathematics and Statistics (R0)
    Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications. The authors illustrate the interdependency between duality, medial graphs and knots; how this interdependency is reflected in algebraic invariants of graphs and knots; and how it can be exploited to solve ... Read more

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  • Topological Methods in Data Analysis and Visualization III

    Theory, Algorithms, and Applications

    Series series Springer Nature Proceedings excluding Computer Science
    This collection of peer-reviewed conference papers provides comprehensive coverage of cutting-edge research in topological approaches to data analysis and visualization. It encompasses the full range of new algorithms and insights, including fast homology computation, comparative analysis of simplification techniques, and key applications in materials and medical science. The volume also features ... Read more

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  • Maximum-Entropy Networks

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    Series series Physics and Astronomy (R0)
    This book is an introduction to maximum-entropy models of random graphs with given topological properties and their applications. Its original contribution is the reformulation of many seemingly different problems in the study of both real networks and graph theory within the unified framework of maximum entropy. Particular emphasis is put on the detection of structural patterns in real networks, ... Read more

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  • Multidimensional Data Visualization

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    Series series Mathematics and Statistics (R0)
    This book highlights recent developments in multidimensional data visualization, presenting both new methods and modifications on classic techniques. Throughout the book, various applications of multidimensional data visualization are presented including its uses in social sciences (economy, education, politics, psychology), environmetrics, and medicine (ophthalmology, sport medicine, pharmacology ... Read more

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  • Semigroup Methods for Evolution Equations on Networks

    by Delio Mugnolo ...
    Series series Physics and Astronomy (R0)
    This concise text is based on a series of lectures held only a few years ago and originally intended as an introduction to known results on linear hyperbolic and parabolic equations. Yet the topic of differential equations on graphs, ramified spaces, and more general network-like objects has recently gained significant momentum and, well beyond the confines of mathematics, there is a lively ... Read more

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