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  3. Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
    Volume 2: 3-Multi-graphs and 2-Multi-tournaments
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  • Publisher:
    Cambridge University Press
    Publication date:
    June 2022
    July 2022
    ISBN:
    9781009229500
    9781009229487
    DOI:
    https://doi.org/10.1017/9781009229500
    Dimensions:
    (229 x 152 mm)
    Weight & Pages:
    0.53kg, 288 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (54)
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    Subjects:
    Mathematics, Logic, Categories and Sets, Discrete Mathematics Information Theory and Coding, Programming Languages and Applied Logic
    Series:
    Lecture Notes in Logic (54)
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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.

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