References for Volume I

Gregory Cherlin

doi:10.1017/9781009229661.023

References for Volume I

Published online by Cambridge University Press: 25 June 2022

Gregory Cherlin

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Gregory Cherlin: Affiliation:
Rutgers University, New Jersey

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Type: Chapter
Information: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
Volume I: Ordered Graphs and Distanced Graphs
, pp. 345 - 350

DOI: https://doi.org/10.1017/9781009229661.023 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2022

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References for Volume I

Ackerman, N., Freer, C., Nešetřil, J., and Patel, R. [2016] Invariant measures via inverse limits of finite structures, European Journal of Combinatorics, Part B, vol. 52, pp. 248–289.Google Scholar

Ackerman, N., Freer, C., and Patel, R. [2016] Invariant measures concentrated on countable structures, Forum of Mathematics. Sigma, vol. 4, no. e17, pp. 1–59.Google Scholar

Alfuraidan, M. and Hall, J. [2006] Smith’s theorem and a characterization of the 6-cube as distancetransitive graph, Journal of Algebraic Combinatorics, vol. 24, pp. 195–207.Google Scholar

Amato, D., Cherlin, G., and D. Macpherson, H. [2021] Metrically homogeneous graphs of diameter 3, Journal of Mathematical Logic, vol. 21, no. 1, pp. 1–106, paper No. 2050020.Google Scholar

Aranda, A., Bradley-Williams, D., K. Hng, E., Hubička, J., Karamanlis, M., Kompatscher, M., Konečný, M., and Pawliuk, M. [2021] Completing graphs to metric spaces, Contributions to Discrete Mathematics, vol. 16, pp. 71–89, e-print arXiv:1706.00295 [math.CO], 2017.Google Scholar

Aranda, A., Bradley-Williams, D., Hubička, J., Karamanlis, M., Kompatscher, M., Konečný, M., and Pawliuk, M. [2017] Ramsey expansions of metrically homogeneous graphs, e-print arXiv:1707.02612 [math.CO].Google Scholar

Bannai, Eiichi and Bannai, Etsuko [1980] How many P-polynomial structures can an association scheme have?, European Journal of Combinatorics, vol. 1, no. 4, pp. 289–298.Google Scholar

Braunfeld, S. [2016] The lattice of definable equivalence relations in homogeneous ndimensional permutation structures, Electronic Journal of Combinatorics, vol. 23, no. 4, paper 44, 24 pp. [2018] Infinite Limits of Finite-Dimensional Permutation Structures, and their Automorphism Groups: Between model theory and combinatorics, Ph.D. thesis, Rutgers University.Google Scholar

Braunfeld, S. and Simon, P. [2020] The classification of homogeneous finite-dimensional permutation structures, Electronic Journal of Combinatorics, vol. 27, no. 1, pp. paper 1.38, 18 pp., e-print: arXiv:1807.07110 [math.LO].Google Scholar

Cameron, P. J. [1980] 6-transitive graphs, Journal of Combinatorial Theory, Series B, vol. 28, pp. 168–179. [1990] Oligomorphic Permutation Groups, London Mathematical Society Lecture Note Series 152, Cambridge University Press. [1998] A census of infinite distance transitive graphs, Discrete Mathematics, vol. 192, pp. 11–26. [2002/03] Homogeneous permutations, Electronic Journal of Combinatorics, vol. 9, paper 2, pp. 1–9.Google Scholar

Cameron, P. J. and Tarzi, S. [2007] On the automorphism group of the m-coloured random graph, preprint.Google Scholar

Cherlin, G. [1988] Homogeneous tournaments revisited, Geometriae Dedicata, vol. 26, pp. 231–240. [1998] The Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous n-Tournaments, Memoirs of the American Mathematical Society, vol. 131, no. 621, xiv+161 pp. [2011] Two problems on homogeneous structures, revisited, Model Theoretic Methods in Finite Combinatorics (Grohe, M. and Makowsky, J. A., editors), Contemporary Mathematics, no. 558, American Mathematical Society, Providence, RI, pp. 319–415. [2021] Homogeneity and related topics: An extended bibliography, e-print arXiv:2111.15429 [math.LO].Google Scholar

Conant, G. [2017] Distance structures for generalized metric spaces, Annals of Pure and Applied Logic, vol. 168, no. 3, pp. 622–650.Google Scholar

Coulson, R. [2019] Metrically Homogeneous Graphs: Dynamical Properties of their Automorphism Groups and the Classification of Twists, Ph.D. thesis, Rutgers University.Google Scholar

Delhommé, C., Laflamme, C., Pouzet, M., and Sauer, N. [2007] Divisibility of countable metric spaces, European Journal of Combinatorics, vol. 28, pp. 1746–1769.Google Scholar

Dolinka, I. and Mašulović, D. [2012] Countable homogeneous linearly ordered posets, European Journal of Combinatorics, vol. 33, pp. 1965–1973.Google Scholar

Erdős, P. and Rényi, A. [1963] Asymmetric graphs, Acta Mathematica Academiae Scientiarum Hungaricae (continued as Acta Mathematica Hungarica), vol. 14, pp. 295–315.Google Scholar

Freudenthal, H. [1956] Neuere Fassungen des Riemann-Helmholtz-Lieschen Raumproblems, Mathematische Zeitschrift, vol. 63, pp. 374–405.Google Scholar

Gardiner, A. [1976] Homogeneous graphs, Journal of Combinatorial Theory, vol. 20, pp. 94–102.Google Scholar

Ward Henson, C. [1971] A family of countable homogeneous graphs, Pacific Journal of Mathematics, vol. 38, pp. 69–83.Google Scholar

Hubička, J., Kompatscher, M., and Konečný, M. [2018] Forbidden cycles in metrically homogeneous graphs, Preprint, arXiv:1808.05177.Google Scholar

Hubička, J., Konečný, M., and Nešetřil, J. [2020a] Semigroup-valued metric spaces: Ramsey expansions and EPPA, in preparation.Google Scholar Google Scholar

Hušek, M. [2008] Urysohn universal space, its development and Hausdorff’s approach, Topology and its Applications, vol. 155, pp. 1493–1501.Google Scholar

Kabil, M. and Pouzet, M. [2020] Generalized metric spaces. relations with graphs, ordered sets and automata: A survey, e-print arXiv:2002.03019 [math.CO].Google Scholar

Kechris, A., Pestov, V., and Todorcevic, S. [2005] Fraïssé limits, Ramsey theory, and topological dynamics of automorphism groups, Geometric and Functional Analysis, vol. 15, pp. 106–189.Google Scholar

Komjáth, P., Mekler, A., and Pach, J. [1988] Some universal graphs, Israel Journal of Mathematics, vol. 64, pp. 158–168.Google Scholar

Konečný, M. [2019a] Combinatorial properties of metrically homogeneous graphs, Bachelor’s thesis, Charles University, Prague. [2019b] Semigroup-valued metric spaces, Master’s thesis, Charles University, Prague.Google Scholar

Lachlan, A. and Woodrow, R. [1980] Countable ultrahomogeneous undirected graphs, Transactions of the American Mathematical Society, vol. 262, pp. 51–94.Google Scholar

Lachlan, A. H. [1984] Countable homogeneous tournaments, Transactions of the American Mathematical Society, vol. 284, pp. 431–461.Google Scholar

Macpherson, H. D. [2011] A survey of homogeneous structures, Discrete Mathematics, vol. 131, pp. 1599–1634.Google Scholar

Moss, L. [1992] Distanced graphs, Discrete Mathematics, vol. 102, pp. 287–305.Google Scholar

Nešetřil, J. [1989] For graphs there are only four types of hereditary Ramsey classes, Journal of Combinatorial Theory Series B, vol. 46, pp. 127–132. [2005] Ramsey classes and homogeneous structures, Combinatorics, Probability and Computing, vol. 14, pp. 171–189.Google Scholar

Petrov, F. and Vershik, A. [2010] Uncountable graphs and invariant measures on the set of universal countable graphs, Random Structures and Algorithms, vol. 37, pp. 389–406.Google Scholar

Quilliot, A. [1983] Homomorphismes, points fixes, rétractions et jeux de poursuite dans les graphes, les ensembles ordonnés et les espaces métriques, Ph.D. thesis, Université Paris VI, Thèse de doctorat d’État.Google Scholar

Sauer, N. W. [2013] Oscillation of Urysohn type spaces, Asymptotic geometric analysis, Fields Inst. Commun., vol. 68, Springer, New York, pp. 247–270.Google Scholar

Sheehan, J. [1974] Smoothly embeddable subgraphs, Journal of the London Mathematical Society, vol. 9, pp. 212–218.Google Scholar

Simon, P. [2021] NIP ω-categorical structures: the rank 1 case, e-print arXiv:180 7.07102 [math.LO].Google Scholar

Smith, D. [1971] Primitive and imprimitive graphs, Quarterly Journal of Mathematics Oxford, vol. 22, pp. 551–557.Google Scholar

Tent, K. and Ziegler, M. [2013] On the isometry group of the Urysohn space, Journal of the London Mathematical Society. Second Series, vol. 87, no. 1, pp. 289–303.Google Scholar

Urysohn, P. [1925] Sur un espace métrique universel (Note de Paul Urysohn), Comptes rendus hebdomadaires de l’Académie des Sciences, vol. 180, pp. 803–806, ISSN 00014036. Source: Bibliothèque nationale de France, http://catalogue.bnf.fr/ark:/12148/cb343481087.Google Scholar

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References for Volume I

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