Set-homogeneous Graphs PDF Download
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Author: D. Macpherson
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: D. Macpherson
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229702
Category : Mathematics
Languages : en
Pages :
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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.
Author: Gregory Cherlin
Publisher: Cambridge University Press
ISBN: 1009229486
Category : Mathematics
Languages : en
Pages : 289
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Book Description
The second of two volumes presenting the state of the art in the classification of homogeneous structures and related problems in the intersection of model theory and combinatorics. It extends the results of the first volume to generalizations of graphs and tournaments with additional binary relations. An appendix explores open problems.
Author: Nikola Yolov
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 113
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Book Description
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: Claude Berge
Publisher: Courier Corporation
ISBN: 9780486419756
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory. 1966 edition. Includes 109 black-and-white illustrations.
Author: Martin Goldstern
Publisher:
ISBN:
Category : Bipartite graphs
Languages : en
Pages : 12
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Book Description
Abstract: "We call a bipartite graph homogeneous if every finite partial automorphism which respects left and right can be extended to a total automorphism. We classify all countable homogeneous bipartite graphs. A ([kappa], [lambda]) bipartite graph is a bipartite graph with left side of size [kappa] and right side of size [lambda]. We show that there is always a homogeneous (N0,2[superscript n0]) bipartite graph (thus answering negatively a question by Kupitz and Perles), and that depending on the underlying set theory all homogeneous (N0, N1) bipartite graphs may be isomorphic, or there may be 2[superscript N1] many isomorphism types of (N0, N1) homogeneous graphs."
Author: Erhard Godehardt
Publisher: Springer Science & Business Media
ISBN: 3322963101
Category : Mathematics
Languages : en
Pages : 224
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Book Description
The advent of the high-speed computer with its enormous storage capabilities enabled statisticians as well as researchers from the different topics of life sciences to apply mul tivariate statistical procedures to large data sets to explore their structures. More and more, methods of graphical representation and data analysis are used for investigations. These methods belong to a topic of growing popUlarity, known as "exploratory data analysis" or EDA. In many applications, there is reason to believe that a set of objects can be clus tered into subgroups that differ in meaningful ways. Extensive data sets, for example, are stored in clinical cancer registers. In large data sets like these, nobody would ex pect the objects to be homogeneous. The most commonly used terms for the class of procedures that seek to separate the component data into groups are "cluster analysis" or "numerical taxonomy". The origins of cluster analysis can be found in biology and anthropology at the beginning of the century. The first systematic investigations in cluster analysis are those of K. Pearson in 1894. The search for classifications or ty pologies of objects or persons, however, is indigenous not only to biology but to a wide variety of disciplines. Thus, in recent years, a growing interest in classification and related areas has taken place. Today, we see applications of cluster analysis not only to. biology but also to such diverse areas as psychology, regional analysis, marketing research, chemistry, archaeology and medicine.
Author: Ulrik Brandes
Publisher: Springer Science & Business Media
ISBN: 3540411836
Category : Computers
Languages : en
Pages : 324
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Book Description
This book constitutes the thoroughly refereed post-workshop proceedings of the 26th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2000, held in Konstanz, Germany, in June 2000. The 26 revised full papers presented together with two invited contributions were carefully reviewed and selected from 51 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms and graph-theoretical applications in various fields.
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.
