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Graph structure and monadic second-order logic : a language-theoretic approach /

"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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Courcelle, B.
Otros Autores: Engelfriet, Joost
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2012.
Colección:Encyclopedia of mathematics and its applications ; 138.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:"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 author not only provides a thorough description of the theory, but also details 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"--
Descripción Física:1 online resource (xiv, 728 pages) : illustrations
Bibliografía:Includes bibliographical references and index.
ISBN:9781139649377
113964937X
9780511977619
0511977611
9781139641739
1139641735
9781139638890
1139638890