Titre: Graph Structure and Monadic Second-Order Logic: A Language-Theoretic Approach (Encyclopedia of Mathematics and its Applications, Series Number 138)
�diteur: Cambridge University Press
Date de parution: 2012
Langue: anglais
ISBN � 10 chiffres: 0521898331
ISBN � 13 chiffres: 9780521898331
Reliure: Couverture rigide
�tat de l'article: New

A propos de ce titre

Synopsis

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.

� propos de l?auteur

Bruno Courcelle is a Professor at Bordeaux 1 University and a member of LaBRI (the Bordeaux Laboratory of Computer Science, CNRS) and of the Institut Universitaire de France. After studying at the �cole Normale Sup�rieure, he was a researcher at INRIA (1972–8), before becoming a Professor at Bordeaux in 1979. He obtained his PhD (supervised by M. Nivat), in 1976. He is on the editorial boards for the journals Information and Computation and Logical Methods in Computer Science.

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