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References for Volume I

Published online by Cambridge University Press:  25 June 2022

Gregory Cherlin
Affiliation:
Rutgers University, New Jersey
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Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
Volume I: Ordered Graphs and Distanced Graphs
, pp. 345 - 350
Publisher: Cambridge University Press
Print publication year: 2022

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References

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. 248289.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. 159.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. 195207.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. 1106, 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. 7189, 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. 289298.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. 168179. [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. 1126. [2002/03] Homogeneous permutations, Electronic Journal of Combinatorics, vol. 9, paper 2, pp. 19.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. 231240. [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. 319415. [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. 622650.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. 17461769.Google Scholar
Dolinka, I. and Mašulović, D. [2012] Countable homogeneous linearly ordered posets, European Journal of Combinatorics, vol. 33, pp. 19651973.Google Scholar
Erdős, P. and Rényi, A. [1963] Asymmetric graphs, Acta Mathematica Academiae Scientiarum Hungaricae (continued as Acta Mathematica Hungarica), vol. 14, pp. 295315.Google Scholar
Freudenthal, H. [1956] Neuere Fassungen des Riemann-Helmholtz-Lieschen Raumproblems, Mathematische Zeitschrift, vol. 63, pp. 374405.Google Scholar
Gardiner, A. [1976] Homogeneous graphs, Journal of Combinatorial Theory, vol. 20, pp. 94102.Google Scholar
Ward Henson, C. [1971] A family of countable homogeneous graphs, Pacific Journal of Mathematics, vol. 38, pp. 6983.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 ScholarGoogle Scholar
Hušek, M. [2008] Urysohn universal space, its development and Hausdorff’s approach, Topology and its Applications, vol. 155, pp. 14931501.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. 106189.Google Scholar
Komjáth, P., Mekler, A., and Pach, J. [1988] Some universal graphs, Israel Journal of Mathematics, vol. 64, pp. 158168.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. 5194.Google Scholar
Lachlan, A. H. [1984] Countable homogeneous tournaments, Transactions of the American Mathematical Society, vol. 284, pp. 431461.Google Scholar
Macpherson, H. D. [2011] A survey of homogeneous structures, Discrete Mathematics, vol. 131, pp. 15991634.Google Scholar
Moss, L. [1992] Distanced graphs, Discrete Mathematics, vol. 102, pp. 287305.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. 127132. [2005] Ramsey classes and homogeneous structures, Combinatorics, Probability and Computing, vol. 14, pp. 171189.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. 389406.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. 247270.Google Scholar
Sheehan, J. [1974] Smoothly embeddable subgraphs, Journal of the London Mathematical Society, vol. 9, pp. 212218.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. 551557.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. 289303.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. 803806, ISSN 00014036. Source: Bibliothèque nationale de France, http://catalogue.bnf.fr/ark:/12148/cb343481087.Google Scholar

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  • References for Volume I
  • Gregory Cherlin, Rutgers University, New Jersey
  • Book: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
  • Online publication: 25 June 2022
  • Chapter DOI: https://doi.org/10.1017/9781009229661.023
Available formats
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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

  • References for Volume I
  • Gregory Cherlin, Rutgers University, New Jersey
  • Book: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
  • Online publication: 25 June 2022
  • Chapter DOI: https://doi.org/10.1017/9781009229661.023
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References for Volume I
  • Gregory Cherlin, Rutgers University, New Jersey
  • Book: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond
  • Online publication: 25 June 2022
  • Chapter DOI: https://doi.org/10.1017/9781009229661.023
Available formats
×