Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53) - Hardcover

Cherlin, Gregory

Hardcover

ISBN 10: 1009229699 ISBN 13: 9781009229692

Publisher: Cambridge University Press, 2022

Synopsis

This is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. In this volume, Cherlin develops a complete classification of homogeneous ordered graphs and provides a full proof. He then proposes a new family of metrically homogeneous graphs, a weakening of the usual homogeneity condition. A general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. It also includes introductory chapters giving an overview of the results and methods of both volumes, and an appendix surveying recent developments in the area. An extensive accompanying bibliography of related literature, organized by topic, is available online.

About this title

About the Author

Gregory Cherlin is Distinguished Professor Emeritus at Rutgers University. He has worked on applications of model theory to algebra and combinatorics for half a century, and has published four books and over 100 articles on model theory and its applications.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2022
• Language: English
• ISBN 10: 1009229699
• ISBN 13: 9781009229692
• Binding: Hardcover
• Number of pages: 386