Theory Of 2 Structures The A Framework For Decomposition And Transformation Of Graphs
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Theory Of 2 Structures The A Framework For Decomposition And Transformation Of Graphs
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Author : Andrzej Ehrenfeucht
language : en
Publisher: World Scientific Publishing Company
Release Date : 1999-08-30
Theory Of 2 Structures The A Framework For Decomposition And Transformation Of Graphs written by Andrzej Ehrenfeucht and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-30 with Mathematics categories.
The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system. In particular, it forms a useful framework for decomposition and transformation of graphs.The decomposition methods presented in this book correspond closely to the top-down design methods studied in computer science. The transformation methods considered here have a natural interpretation in the dynamic evolution of certain kinds of communication networks. From the mathematical point of view, the clan decomposition method presented here, also known as modular decomposition or substitution decomposition, is closely related to the decomposition by quotients in algebra. The transformation method presented here is based on labelled 2-structures over groups, the theory of which generalizes the well-studied theory of switching classes of graphs.This book is both a text and a monograph. As a monograph, the results concerning the decomposition and transformation of 2-structures are presented in a unified way. In addition, detailed notes on references are provided at the end of each chapter. These notes allow the reader to trace the origin of many notions and results, and to browse through the literature in order to extend the material presented in the book.To facilitate its use as a textbook, there are numerous examples and exercises which provide an opportunity for the reader to check his or her understanding of the discussed material. Furthermore, the text begins with preliminaries on partial orders, semigroups, groups and graphs to the extent needed for the book.
Handbook Of Graph Grammars And Computing By Graph Transformation Vol 1 Foundations
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Author : Grzegorz Rozenberg
language : en
Publisher: World Scientific
Release Date : 1997-02-27
Handbook Of Graph Grammars And Computing By Graph Transformation Vol 1 Foundations written by Grzegorz Rozenberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-27 with Computers categories.
Graph grammars originated in the late 60s, motivated by considerations about pattern recognition and compiler construction. Since then the list of areas which have interacted with the development of graph grammars has grown quite impressively. Besides the aforementioned areas it includes software specification and development, VLSI layout schemes, database design, modeling of concurrent systems, massively parallel computer architectures, logic programming, computer animation, developmental biology, music composition, visual languages, and many others.The area of graph grammars and graph transformations generalizes formal language theory based on strings and the theory of term rewriting based on trees. As a matter of fact within the area of graph grammars, graph transformation is considered a fundamental programming paradigm where computation includes specification, programming, and implementation.Over the last 25-odd years graph grammars have developed at a steady pace into a theoretically attractive and well-motivated research field. In particular, they are now based on very solid foundations, which are presented in this volume. Volume 1 of the indispensable Handbook of Graph Grammars and Computing by Graph Transformations includes a state-of-the-art presentation of the foundations of all the basic approaches to rule-based graph specification and transformation: algebraic approach, logic approach, node-based rewriting, (hyper)edge-based rewriting, programmed graph rewriting, and 2-structures. The book has been written in a tutorial/survey style to enhance its usefulness.
Handbook Of Graph Grammars And Computing By Graph Transformation
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Author : Grzegorz Rozenberg
language : en
Publisher: World Scientific
Release Date : 1997-01-01
Handbook Of Graph Grammars And Computing By Graph Transformation written by Grzegorz Rozenberg and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Computers categories.
Graph grammars originated in the late 60s, motivated by considerations about pattern recognition and compiler construction. Since then the list of areas which have interacted with the development of graph grammars has grown quite impressively. Besides the aforementioned areas it includes software specification and development, VLSI layout schemes, database design, modeling of concurrent systems, massively parallel computer architectures, logic programming, computer animation, developmental biology, music composition, visual languages, and many others. The area of graph grammars and graph transformations generalizes formal language theory based on strings and the theory of term rewriting based on trees. As a matter of fact within the area of graph grammars, graph transformation is considered a fundamental programming paradigm where computation includes specification, programming, and implementation.
Graph Transformation
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Author : Andrea Corradini
language : en
Publisher: Springer
Release Date : 2003-06-30
Graph Transformation written by Andrea Corradini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-30 with Computers categories.
ICGT 2002 was the ?rst International Conference on Graph Transformation following a series of six international workshops on graph grammars with - plications in computer science, held in Bad Honnef (1978), Osnabruc ̈ k (1982), Warrenton (1986), Bremen (1990), Williamsburg (1994), and Paderborn (1998). ICGT 2002 was held in Barcelona (Spain), October 7–12, 2002 under the a- pices of the European Association of Theoretical Computer Science (EATCS), the European Association of Software Science and Technology (EASST), and the IFIP Working Group 1.3, Foundations of Systems Speci?cation. The scope of the conference concerned graphical structures of various kinds (like graphs, diagrams, visual sentences and others) that are useful to describe complex structures and systems in a direct and intuitive way. These structures are often augmented by formalisms which add to the static description a further dimension, allowing for the modeling of the evolution of systems via all kinds of transformations of such graphical structures. The ?eld of Graph Transformation is concerned with the theory, applications, and implementation issues of such formalisms. The theory is strongly related to areas such as graph theory and graph - gorithms, formal language and parsing theory, the theory of concurrent and distributed systems, formal speci?cation and veri?cation, logic, and semantics.
Analysis And Correctness Of Algebraic Graph And Model Transformations
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Author : Ulrike Golas
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-11
Analysis And Correctness Of Algebraic Graph And Model Transformations written by Ulrike Golas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with Computers categories.
Ulrike Golas extends a mathematical theory of algebraic graph and model transformations for more sophisticated applications like the specification of syntax, semantics, and model transformations of complex models. Based on M-adhesive transformation systems, model transformations are successfully analyzed regarding syntactical correctness, completeness, functional behavior, and semantical simulation and correctness.
Lectures On Concurrency And Petri Nets
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Author : Jörg Desel
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-14
Lectures On Concurrency And Petri Nets written by Jörg Desel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-14 with Mathematics categories.
This tutorial volume originates from the 4th Advanced Course on Petri Nets, ACPN 2003, held in Eichstätt, Germany in September 2003. In addition to lectures given at ACPN 2003, additional chapters have been commissioned to give a well-balanced presentation of the state of the art in the area. This book will be useful as both a reference for those working in the area as well as a study book for the reader who is interested in an up-to-date overview of research and development in concurrent and distributed systems; of course, readers specifically interested in theoretical or applicational aspects of Petri nets will appreciate the book as well.
Fundamentals Of Algebraic Graph Transformation
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Author : Hartmut Ehrig
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-01
Fundamentals Of Algebraic Graph Transformation written by Hartmut Ehrig and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-01 with Computers categories.
This is the first textbook treatment of the algebraic approach to graph transformation, based on algebraic structures and category theory. It contains an introduction to classical graphs. Basic and advanced results are first shown for an abstract form of replacement systems and are then instantiated to several forms of graph and Petri net transformation systems. The book develops typed attributed graph transformation and contains a practical case study.
Algorithms And Computation
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Author : Otfried Cheong
language : en
Publisher: Springer
Release Date : 2010-12-06
Algorithms And Computation written by Otfried Cheong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-06 with Computers categories.
Annotation This book constitutes the refereed proceedings of the 21st International Symposium on Algorithms and Computation, ISAAC 2010, held in Jeju, South Korea in December 2010.The 77 revised full papers presented were carefully reviewed and selected from 182 submissions for inclusion in the book. This volume contains topics such as approximation algorithm; complexity; data structure and algorithm; combinatorial optimization; graph algorithm; computational geometry; graph coloring; fixed parameter tractability; optimization; online algorithm; and scheduling.
Developments In Language Theory
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Author : Tero Harju
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-21
Developments In Language Theory written by Tero Harju and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-21 with Computers categories.
This book constitutes the refereed proceedings of the 11th International Conference on Developments in Language Theory, DLT 2007, held in Turku, Finland in July 2007. It addresses all important issues in language theory including grammars, acceptors and transducers for words, trees and graphs; algebraic theories of automata; relationships to cryptography, concurrency, complexity theory and logic; bioinspired computing, and quantum computing.
Computer Science Logic
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Author : Luke Ong
language : en
Publisher: Springer
Release Date : 2005-09-07
Computer Science Logic written by Luke Ong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-07 with Computers categories.
The Annual Conference of the European Association for Computer Science Logic (EACSL), CSL 2005, was held at the University of Oxford on 22 –25 August 2005.