Mathematical Foundations and Applications of Graph Entropy PDF Download

Author: Matthias Dehmer
Publisher: John Wiley & Sons
ISBN: 3527339094
Category : Medical
Languages : en
Pages : 298

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Book Description
This latest addition to the successful Network Biology series presents current methods for determining the entropy of networks, making it the first to cover the recently established Quantitative Graph Theory. An excellent international team of editors and contributors provides an up-to-date outlook for the field, covering a broad range of graph entropy-related concepts and methods. The topics range from analyzing mathematical properties of methods right up to applying them in real-life areas. Filling a gap in the contemporary literature this is an invaluable reference for a number of disciplines, including mathematicians, computer scientists, computational biologists, and structural chemists.

Author: Jon Barwise
Publisher: Cambridge University Press
ISBN: 1316582663
Category : Computers
Languages : en
Pages : 292

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Book Description
Information is a central topic in computer science, cognitive science and philosophy. In spite of its importance in the 'information age', there is no consensus on what information is, what makes it possible, and what it means for one medium to carry information about another. Drawing on ideas from mathematics, computer science and philosophy, this book addresses the definition and place of information in society. The authors, observing that information flow is possible only within a connected distribution system, provide a mathematically rigorous, philosophically sound foundation for a science of information. They illustrate their theory by applying it to a wide range of phenomena, from file transfer to DNA, from quantum mechanics to speech act theory.

Author: Christopher G. Timpson
Publisher: Oxford Philosophical Monograph
ISBN: 0199296464
Category : Computers
Languages : en
Pages : 308

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Book Description
Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.

Author: Alessandro Aldini
Publisher: Springer Science & Business Media
ISBN: 364213677X
Category : Computers
Languages : en
Pages : 175

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Book Description
This book presents a set of 4 papers accompanying the lectures of leading researchers given at the 10th edition of the International School on Formal Methods for the Design of Computer, Communication and Software Systems, SFM 2010, held in Bertinoro, Italy, in June 2010. SFM 2010 was devoted to formal methods for quantitative aspects of programming languages and covered several topics including probabilistic and timed models, model checking, static analysis, quantum computing, real-time and embedded systems, and security.

Author: Catuscia Palamidessi
Publisher: Springer Science & Business Media
ISBN: 3540678972
Category : Computers
Languages : en
Pages : 631

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Book Description
This volume contains the proceedings of the 11th International Conference on Concurrency Theory (CONCUR 2000) held in State College, Pennsylvania, USA, during 22-25 August 2000. The purpose of the CONCUR conferences is to bring together researchers, developers, and students in order to advance the theory of concurrency and promote its applications. Interest in this topic is continuously growing, as a consequence of the importance and ubiquity of concurrent systems and their - plications, and of the scienti?c relevance of their foundations. The scope covers all areas of semantics, logics, and veri?cation techniques for concurrent systems. Topics include concurrency related aspects of: models of computation, semantic domains, process algebras, Petri nets, event structures, real-time systems, hybrid systems, decidability, model-checking, veri?cation techniques, re?nement te- niques, term and graph rewriting, distributed programming, logic constraint p- gramming, object-oriented programming, typing systems and algorithms, case studies, tools, and environments for programming and veri?cation. The ?rst two CONCUR conferences were held in Amsterdam (NL) in 1990 and 1991. The following ones in Stony Brook (USA), Hildesheim (D), Uppsala (S), Philadelphia (USA), Pisa (I), Warsaw (PL), Nice (F), and Eindhoven (NL). The proceedings have appeared in Springer LNCS, as Volumes 458, 527, 630, 715, 836, 962, 1119, 1243, 1466, and 1664.

Author: Matthias Dehmer
Publisher: CRC Press
ISBN: 1466584513
Category : Computers
Languages : en
Pages : 530

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Book Description
The first book devoted exclusively to quantitative graph theory, Quantitative Graph Theory: Mathematical Foundations and Applications presents and demonstrates existing and novel methods for analyzing graphs quantitatively. Incorporating interdisciplinary knowledge from graph theory, information theory, measurement theory, and statistical techniques, this book covers a wide range of quantitative-graph theoretical concepts and methods, including those pertaining to real and random graphs such as: Comparative approaches (graph similarity or distance) Graph measures to characterize graphs quantitatively Applications of graph measures in social network analysis and other disciplines Metrical properties of graphs and measures Mathematical properties of quantitative methods or measures in graph theory Network complexity measures and other topological indices Quantitative approaches to graphs using machine learning (e.g., clustering) Graph measures and statistics Information-theoretic methods to analyze graphs quantitatively (e.g., entropy) Through its broad coverage, Quantitative Graph Theory: Mathematical Foundations and Applications fills a gap in the contemporary literature of discrete and applied mathematics, computer science, systems biology, and related disciplines. It is intended for researchers as well as graduate and advanced undergraduate students in the fields of mathematics, computer science, mathematical chemistry, cheminformatics, physics, bioinformatics, and systems biology.

Author: Mário S. Alvim
Publisher: Springer Nature
ISBN: 3319961314
Category : Computers
Languages : en
Pages : 478

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Book Description
This book presents a comprehensive mathematical theory that explains precisely what information flow is, how it can be assessed quantitatively – so bringing precise meaning to the intuition that certain information leaks are small enough to be tolerated – and how systems can be constructed that achieve rigorous, quantitative information-flow guarantees in those terms. It addresses the fundamental challenge that functional and practical requirements frequently conflict with the goal of preserving confidentiality, making perfect security unattainable. Topics include: a systematic presentation of how unwanted information flow, i.e., "leaks", can be quantified in operationally significant ways and then bounded, both with respect to estimated benefit for an attacking adversary and by comparisons between alternative implementations; a detailed study of capacity, refinement, and Dalenius leakage, supporting robust leakage assessments; a unification of information-theoretic channels and information-leaking sequential programs within the same framework; and a collection of case studies, showing how the theory can be applied to interesting realistic scenarios. The text is unified, self-contained and comprehensive, accessible to students and researchers with some knowledge of discrete probability and undergraduate mathematics, and contains exercises to facilitate its use as a course textbook.

Author: Roberto Amadio
Publisher: Springer Science & Business Media
ISBN: 3540784977
Category : Computers
Languages : en
Pages : 519

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Book Description
This book constitutes the refereed proceedings of the 11th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2008, held in Budapest, Hungary, in March/April 2008 as part of ETAPS 2008, the European Joint Conferences on Theory and Practice of Software. The 33 revised full papers presented together with the abstract of 1 invited talk were carefully reviewed and selected from 124 submissions. A broad variety of theories and methods to support analysis, synthesis, transformation and verification of programs and software systems are addressed, including the following topics: algebraic models, automata and language theory, behavioural equivalences, categorical models, computation processes over discrete and continuous data, infinite state systems, computational structures, logics of programs, modal, spatial, and temporal logics, models of concurrent, reactive, distributed, and mobile systems, process algebras and calculi, semantics of programming languages, software specification and refinement, type systems and type theory, fundamentals of security, semi-structured data, program correctness and verification.

Author: Srinivasan Keshav
Publisher: Pearson Education
ISBN: 0321792106
Category : Computers
Languages : en
Pages : 496

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Book Description
Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory

Author: Caslav Brukner
Publisher: Frontiers Media SA
ISBN: 2889744329
Category : Science
Languages : en
Pages : 126

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Book Description