Skip to main content Accessibility help
×
  1. Home
  2. Books
  3. Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
  • Cited by 1
  • Volume 1: Ordered Graphs and Distanced Graphs
  • Gregory Cherlin, Rutgers University, New Jersey
Publisher:
Cambridge University Press
Online publication date:
June 2022
Print publication year:
2022
Online ISBN:
9781009229661
DOI:
https://doi.org/10.1017/9781009229661
Subjects:
Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding, Programming Languages and Applied Logic
Series:
Lecture Notes in Logic (53)
Information

Book description

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.

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

Contents

Contents
References

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Accessibility standard: Unknown

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.