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Homogeneous ordered graphs, metrically homogeneous graphs, and beyond.Volume I,Ordered graphs and distanced graphs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Homogeneous ordered graphs, metrically homogeneous graphs, and beyond.Gregory Cherlin.
remainder title:	Ordered graphs and distanced graphs
Author:	Cherlin, Gregory.
Published:	Cambridge :Cambridge University Press,2022.
Description:	xxx, 356 p. :ill., digital ;23 cm.
Notes:	Title from publisher's bibliographic system (viewed on 27 Jun 2022).
Subject:	Graph theory.
Online resource:	https://doi.org/10.1017/9781009229661
ISBN:	9781009229661$q(electronic bk.)

Homogeneous ordered graphs, metrically homogeneous graphs, and beyond.Volume I,Ordered graphs and distanced graphs
Cherlin, Gregory.

Homogeneous ordered graphs, metrically homogeneous graphs, and beyond.Volume I,Ordered graphs and distanced graphs[electronic resource] /Ordered graphs and distanced graphsGregory Cherlin. - Cambridge :Cambridge University Press,2022. - xxx, 356 p. :ill., digital ;23 cm. - Lecture notes in logic ;53. - Lecture notes in logic ;45..

Title from publisher's bibliographic system (viewed on 27 Jun 2022).

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.

ISBN: 9781009229661$q(electronic bk.)Subjects--Topical Terms:

181880
Graph theory.

LC Class. No.: QA166 / .C44 2022

Dewey Class. No.: 511.5

Homogeneous ordered graphs, metrically homogeneous graphs, and beyond.Volume I,Ordered graphs and distanced graphs
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520 $a 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.
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