Graph Structure Theory
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Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
Author: Martin Grohe
language: en
Publisher: Cambridge University Press
Release Date: 2017-08-17
This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory.
Graph Structure and Monadic Second-Order Logic
Author: Bruno Courcelle
language: en
Publisher: Cambridge University Press
Release Date: 2012-06-14
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 Structure Theory
Author: Neil Robertson
language: en
Publisher: American Mathematical Soc.
Release Date: 1993-06-14
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Graph Minors, held at the University of Washington in Seattle in the summer of 1991. Among the topics covered are: algorithms on tree-structured graphs, well-quasi-ordering, logic, infinite graphs, disjoint path problems, surface embeddings, knot theory, graph polynomials, matroid theory, and combinatorial optimization.