The Reducts of Some Infinite Homogeneous Graphs and Tournaments PDF Download
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Author: James H. Bennett
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
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Book Description
Author: James H. Bennett
Publisher:
ISBN:
Category :
Languages : en
Pages : 142
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Book Description
Author: Artur Czumaj
Publisher: Cambridge University Press
ISBN: 1107462509
Category : Mathematics
Languages : en
Pages : 333
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Book Description
This book contains surveys of recent important developments in combinatorics covering a wide range of areas in the field.
Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229494
Category : Mathematics
Languages : en
Pages :
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Book Description
This is the second 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. This volume continues the analysis of the first volume to 3-multi-graphs and 3-multi-tournaments, expansions of graphs and tournaments by the addition of a further binary relation. The opening chapter provides an overview of the volume, outlining the relevant results and conjectures. The author applies and extends the results of Volume I to obtain a detailed catalogue of such structures and a second classification conjecture. The book ends with an appendix exploring recent advances and open problems in the theory of homogeneous structures and related subjects.
Author: Norbert W Sauer
Publisher: Springer Science & Business Media
ISBN: 9401120803
Category : Mathematics
Languages : en
Pages : 452
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Book Description
This volume contains the accounts of papers delivered at the Nato Advanced Study Institute on Finite and Infinite Combinatorics in Sets and Logic held at the Banff Centre, Alberta, Canada from April 21 to May 4, 1991. As the title suggests the meeting brought together workers interested in the interplay between finite and infinite combinatorics, set theory, graph theory and logic. It used to be that infinite set theory, finite combinatorics and logic could be viewed as quite separate and independent subjects. But more and more those disciplines grow together and become interdependent of each other with ever more problems and results appearing which concern all of those disciplines. I appreciate the financial support which was provided by the N. A. T. O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the Department of Mathematics and Statistics of the University of Calgary. 11l'te meeting on Finite and Infinite Combinatorics in Sets and Logic followed two other meetings on discrete mathematics held in Banff, the Symposium on Ordered Sets in 1981 and the Symposium on Graphs and Order in 1984. The growing inter-relation between the different areas in discrete mathematics is maybe best illustrated by the fact that many of the participants who were present at the previous meetings also attended this meeting on Finite and Infinite Combinatorics in Sets and Logic.
Author: Gregory L. Cherlin
Publisher: American Mathematical Soc.
ISBN: 9780821808368
Category : Mathematics
Languages : en
Pages : 188
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Book Description
In this book, Ramsey theoretic methods introduced by Lachlan are applied to classify the countable homogeneous directed graphs. This is an uncountable collection, and this book presents the first explicit classification result covering an uncountable family. The author's aim is to demonstrate the potential of Lachlan's method for systematic use.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 560
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Book Description
Author: Gregory L. Cherlin
Publisher: American Mathematical Society(RI)
ISBN: 9781470402105
Category : MATHEMATICS
Languages : en
Pages : 183
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Book Description
In this book, Ramsey theoretic methods introduced by Lachlan are applied to classify the countable homogeneous directed graphs. This is an uncountable collection, and this book presents the first explicit classification result covering an uncountable family. The author's aim is to demonstrate the potential of Lachlan's method for systematic use.
Author: M. Pouzet
Publisher: Elsevier
ISBN: 0080872107
Category : Mathematics
Languages : en
Pages : 599
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Book Description
Orders: Description and Roles
Author: Martin Grohe
Publisher: American Mathematical Soc.
ISBN: 0821849433
Category : Mathematics
Languages : en
Pages : 529
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Book Description
This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.
Author: Gena Hahn
Publisher: Springer Science & Business Media
ISBN: 9401589372
Category : Mathematics
Languages : en
Pages : 434
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Book Description
The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.
