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Theory of Finite and Infinite Graphs, Denes K?nig; Richard McCoart; W.T. Tutte


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Автор: Denes K?nig; Richard McCoart; W.T. Tutte
Название:  Theory of Finite and Infinite Graphs
ISBN: 9781468489736
Издательство: Springer
Классификация:


ISBN-10: 1468489739
Обложка/Формат: Paperback
Страницы: 426
Вес: 0.58 кг.
Дата издания: 03.05.2012
Язык: English
Размер: 229 x 152 x 23
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: To most graph theorists there are two outstanding landmarks in the history of their subject. One is Eulers solution of the Konigsberg Bridges Problem, dated 1736, and the other is the appearance of Denes Konigs textbook in 1936. From Konigsberg to Konigs book sings the poetess, So runs the graphic tale . . . 10]. There were earlier books that took note of graph theory. Veb- lens Analysis Situs, published in 1931, is about general combinato- rial topology. But its first two chapters, on Linear graphs and Two-Dimensional Complexes, are almost exclusively concerned with the territory still explored by graph theorists. Rouse Balls Mathematical Recreations and Essays told, usually without proofs, of the major graph-theoretical advances ofthe nineteenth century, of the Five Colour Theorem, of Petersens Theorem on I-factors, and of Cayleys enumerations of trees. It was Rouse Balls book that kindled my own graph-theoretical enthusiasm. The graph-theoretical papers of Hassler Whitney, published in 1931-1933, would have made an excellent textbook in English had they been collected and published as such. But the honour of presenting Graph Theory to the mathe- matical world as a subject in its own right, with its own textbook, belongs to Denes Konig. Low was the prestige of Graph Theory in the Dirty Thirties. It is still remembered, with resentment now shading into amuse- ment, how one mathematician scorned it as The slums of Topol- ogy.


Finite Model Theory

Название: Finite Model Theory
ISBN: 3540287876 ISBN-13(EAN): 9783540287872
Издательство: Springer
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Цена: 19564.00 р.
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Описание: The book presents the main results of descriptive complexity theory, that is, the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. The logics that are important in this context include fixed-point logics, transitive closure logics, and also certain infinitary languages; their model theory is studied in full detail. Other topics include DATALOG languages, quantifiers and oracles, 0-1 laws, and optimization and approximation problems. The book is written in such a way that the respective parts on model theory and descriptive complexity theory may be read independently. This second edition is a thoroughly revised and enlarged version of the original text.

Finite and Infinite Combinatorics in Sets and Logic

Автор: Norbert W Sauer; R.E. Woodrow; B. Sands
Название: Finite and Infinite Combinatorics in Sets and Logic
ISBN: 0792324226 ISBN-13(EAN): 9780792324225
Издательство: Springer
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Цена: 56042.00 р.
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Описание: Highlights the connections between problems in finite combinatorics and graph theory on the one hand and the more foundational subjects of logic and set theory on the other. This book contains articles which touch in one way or another on homogeneous structures.

Handbook of Finite State Based Models and Applications

Название: Handbook of Finite State Based Models and Applications
ISBN: 1138199354 ISBN-13(EAN): 9781138199354
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание:

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on finite state theories, algorithms, and the latest domain applications. For beginners, the book is a handy reference for quickly looking up model details. For more experienced researchers, it is suitable as a source of in-depth study in this area.

The book first introduces the fundamentals of automata theory, including regular expressions, as well as widely used automata, such as transducers, tree automata, quantum automata, and timed automata. It then presents algorithms for the minimization and incremental construction of finite automata and describes Esterel, an automata-based synchronous programming language for embedded system software development.

Moving on to applications, the book explores regular path queries on graph-structured data, timed automata in model checking security protocols, pattern matching, compiler design, and XML processing. It also covers other finite state-based modeling approaches and applications, including Petri nets, statecharts, temporal logic, and UML state machine diagrams.

Elements of Finite Model Theory

Автор: Leonid Libkin
Название: Elements of Finite Model Theory
ISBN: 3642059481 ISBN-13(EAN): 9783642059483
Издательство: Springer
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Цена: 8384.00 р.
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Описание: Emphasizes the computer science aspects of the subject. Details applications in databases, complexity theory, and formal languages, as well as other branches of computer science.

Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Автор: Gary L. Mullen; Henning Stichtenoth; Horacio Tapia
Название: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas
ISBN: 3642639763 ISBN-13(EAN): 9783642639760
Издательство: Springer
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Цена: 19564.00 р.
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Infinite Homotopy Theory

Автор: H-J. Baues; A. Quintero
Название: Infinite Homotopy Theory
ISBN: 9401064938 ISBN-13(EAN): 9789401064934
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In handling non-compact spaces we must take into account the infinity behaviour of such spaces. Later, Freudenthal [ETR] gave a rigorous treatment of the topology of "ideal points" by introducing the space of "ends" of a non-compact space.

Elementary Number Theory, Group Theory and Ramanujan Graphs

Автор: Davidoff
Название: Elementary Number Theory, Group Theory and Ramanujan Graphs
ISBN: 0521824265 ISBN-13(EAN): 9780521824262
Издательство: Cambridge Academ
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Цена: 24077.00 р.
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Описание: This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering.

Theory and Application of Graphs

Автор: Junming Xu
Название: Theory and Application of Graphs
ISBN: 1402075405 ISBN-13(EAN): 9781402075407
Издательство: Springer
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Цена: 22359.00 р.
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Описание: Considers a graph as a mathematical structure on a set of elements with a binary relation, and provides the classical and important theory and application of graphs. This book covers basic concepts, trees and graphic spaces, plane graphs and planar graphs, flows and connectivity, matchings and independent sets, coloring theory, graphs and groups.


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