Methods Of Graph Decompositions
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Methods Of Graph Decompositions
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Author : Vadim Zverovich
language : en
Publisher: Oxford University Press
Release Date : 2024-08-06
Methods Of Graph Decompositions written by Vadim Zverovich and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Mathematics categories.
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 appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions. In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.
Graph Decompositions
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Author : Reinhard Diestel
language : en
Publisher:
Release Date : 1990
Graph Decompositions written by Reinhard Diestel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Language Arts & Disciplines categories.
Graph Decompositions is the first book on a topic that belongs mainly to infinite graph theory. It offers a complete account of the theory of simplicial decompositions of graphs, from its origins in the 1930s right up to present-day research. In addition to being one of the most important tools in infinite graph theory, simplicial decompositions may be seen as a model for any kind of structural graph decomposition. The currently topical tree-decompositions, for example, have their origin in simplicial decompositions. The text is centred around a few guiding problems and concepts, such as the existence and the uniqueness problem of simplicial decompositions into primes, or the concept of excluded minors as a means of identifying a desired structure.It attempts to give as authentic a picture as possible of research in progress. To this end, it includes discussions of examples, proof strategies on the formation of new concepts, as well as numerous exercises and open problems. Graph Decompositions should prove attractive to any graph theorist or other mathematician interested in a new area of research, as well as to the advanced student looking for a lively and inspiring account of how such research evolves.
Graph Structure And Monadic Second Order Logic
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Author : Bruno Courcelle
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-14
Graph Structure And Monadic Second Order Logic written by Bruno Courcelle and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Mathematics categories.
The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
Graph Theory And Decomposition
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Author : Jomon Kottarathil
language : en
Publisher: CRC Press
Release Date : 2024-04-10
Graph Theory And Decomposition written by Jomon Kottarathil and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-10 with Mathematics categories.
The book Graph Theory and Decomposition covers major areas of the decomposition of graphs. It is a three-part reference book with nine chapters that is aimed at enthusiasts as well as research scholars. It comprehends historical evolution and basic terminologies, and it deliberates on decompositions into cyclic graphs, such as cycle, digraph, and K4-e decompositions. In addition to determining the pendant number of graphs, it has a discourse on decomposing a graph into acyclic graphs like general tree, path, and star decompositions. It summarises another recently developed decomposition technique, which decomposes the given graph into multiple types of subgraphs. Major conjectures on graph decompositions are elaborately discussed. It alludes to a comprehensive bibliography that includes over 500 monographs and journal articles. It includes more than 500 theorems, around 100 definitions, 56 conjectures, 40 open problems, and an algorithm. The index section facilitates easy access to definitions, major conjectures, and named theorems. Thus, the book Graph Theory and Decomposition will be a great asset, we hope, in the field of decompositions of graphs and will serve as a reference book for all who are passionate about graph theory.
Domain Decomposition Methods Algorithms And Theory
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Author : Andrea Toselli
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-20
Domain Decomposition Methods Algorithms And Theory written by Andrea Toselli 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 2006-06-20 with Mathematics categories.
This book offers a comprehensive presentation of some of the most successful and popular domain decomposition preconditioners for finite and spectral element approximations of partial differential equations. It places strong emphasis on both algorithmic and mathematical aspects. It covers in detail important methods such as FETI and balancing Neumann-Neumann methods and algorithms for spectral element methods.
Automata Languages And Programming
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Author : Luca Aceto
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-24
Automata Languages And Programming written by Luca Aceto 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 2008-06-24 with Computers categories.
ICALP 2008, the 35th edition of the International Colloquium on Automata, Languages and Programming, was held in Reykjavik, Iceland, July 7–11, 2008. ICALP is a series of annual conferences of the European Association for Th- reticalComputer Science(EATCS) which ?rsttook placein 1972.This year,the ICALP program consisted of the established Track A (focusing on algorithms, automata,complexityandgames)andTrackB(focusing onlogic,semanticsand theory of programming), and of the recently introduced Track C (focusing on security and cryptography foundations). In response to the call for papers, the Program Committees received 477 submissions, the highest ever: 269 for Track A, 122 for TrackB and 86 for Track C. Out of these, 126 papers were selected for inclusion in the scienti?c program: 70 papers for Track A, 32 for Track B and 24 for Track C. The selection was made by the Program Committees based on originality, quality, and relevance to theoretical computer science. The quality of the manuscripts was very high indeed, and many deserving papers could not be selected. ICALP 2008 consisted of ?ve invited lectures and the contributed papers.
Architecture Design And Validation Methods
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Author : Egon Börger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Architecture Design And Validation Methods written by Egon Börger 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 2012-12-06 with Computers categories.
This book grew out of material which was taught at the International Summer School on Architecture Design and Validation Methods, held June 23-July 5, 1997, on the Island of Lipari and directed to graduate students and young researchers. Since then the course notes have been completely elaborated and extended and additional chapters have been added so that this book offers a comprehensive presentation of the state of the art which leads the reader to the forefront of the current research in the area. The chapters, each of which was written by a group of eminent special ists in the field, are self-contained and can be read independently of each other. They cover the wide range of theoretical and practical methods which currently used for the specification, design, validation and verification of are hardware/software architectures. Synthesis methods are the subject of the first three chapters. The chapter on Modeling and Synthesis of Behavior, Control and Data Flow focusses on techniques above the register-transfer level. The chapter on Cell-Based Logic Optimizations concentrates on methods that interface logic design with phys ical design, in particular on techniques for cell-library binding, the back-end of logic synthesis. The chapter on A Design Flow for Performance Planning presents new paradigms for iteration-free synthesis where global wire plans for meeting timing constraints already appear at the conceptual design stage, even before fixing the functionality of the blocks in the plan.
Advances In Cryptology Eurocrypt 92
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Author : Rainer A. Rueppel
language : en
Publisher: Springer
Release Date : 2003-06-30
Advances In Cryptology Eurocrypt 92 written by Rainer A. Rueppel 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.
A series of workshops devoted to modern cryptography began in Santa Barbara,California in 1981 and was followed in 1982 by a European counterpart in Burg Feuerstein, Germany. The series has been maintained with summer meetings in Santa Barbara and spring meetings somewhere in Europe. At the 1983 meeting in Santa Barbara the International Association for Cryptologic Research was launched and it now sponsors all the meetings of the series. This volume presents the proceedings of Eurocrypt '92, held in Hungary. The papers are organized into the following parts: Secret sharing, Hash functions, Block ciphers, Stream ciphers, Public key I, Factoring, Trapdoor primes and moduli (panel report), Public key II, Pseudo-random permutation generators, Complexity theory and cryptography I, Zero-knowledge, Digital knowledge and electronic cash, Complexity theory andcryptography II, Applications, and selected papers from the rump session. Following the tradition of the series, the authors produced full papers after the meeting, in some cases with revisions.
Advances In Artificial Intelligence
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Author : Cyril Goutte
language : en
Publisher: Springer Nature
Release Date : 2020-05-05
Advances In Artificial Intelligence written by Cyril Goutte and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-05 with Computers categories.
This book constitutes the refereed proceedings of the 33rd Canadian Conference on Artificial Intelligence, Canadian AI 2020, which was planned to take place in Ottawa, ON, Canada. Due to the COVID-19 pandemic, however, it was held virtually during May 13–15, 2020. The 31 regular papers and 24 short papers presented together with 4 Graduate Student Symposium papers were carefully reviewed and selected from a total of 175 submissions. The selected papers cover a wide range of topics, including machine learning, pattern recognition, natural language processing, knowledge representation, cognitive aspects of AI, ethics of AI, and other important aspects of AI research.
Handbook Of Graph Theory
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Author : Jonathan L. Gross
language : en
Publisher: CRC Press
Release Date : 2003-12-29
Handbook Of Graph Theory written by Jonathan L. Gross and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-29 with Computers categories.
The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach