Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond 2 Volume Hardback Set (Lecture Notes in Logic)

Cherlin, Gregory

ISBN 10: 1009230182 / ISBN 13: 9781009230186

Published by Cambridge University Press, 2022

About this Item

Seller Inventory # I-9781009230186

Bibliographic Details

• Title: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond 2 Volume Hardback Set (Lecture Notes in Logic)
• Publisher: Cambridge University Press
• Publication Date: 2022
• Language: English
• ISBN 10: 1009230182
• ISBN 13: 9781009230186
• Binding: Hardcover
• Condition: New

About this title

Synopsis

These two volumes by Professor Cherlin present 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 Volume I, the homogeneous ordered graphs are classified, a new family of metrically homogeneous graphs is constructed, and a general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. Volume II continues the analysis into more general expansions of graphs or tournaments by an additional binary relation, called 3-multi-graphs or 3-multi-tournaments, applying and extending the results of Volume I, resulting in a detailed catalogue of such structures and a second classification conjecture. Appendices to both volumes explore recent developments and open questions.

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.