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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Isomorphism types of infinite symmetric graphs
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by C. M. Bang
Proc. Amer. Math. Soc. 35 (1972), 31-33
DOI: https://doi.org/10.1090/S0002-9939-1972-0295944-0
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Abstract:

Professor Bjarni Jónsson asked about the cardinality of isomorphism types of infinite symmetric graphs of order m, for each infinite cardinal m. We show that there are ${2^m}$ pairwise nonisomorphic infinite symmetric graphs of order m, for each infinite cardinal m.
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Bibliographic Information
  • © Copyright 1972 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 35 (1972), 31-33
  • MSC: Primary 05C99
  • DOI: https://doi.org/10.1090/S0002-9939-1972-0295944-0
  • MathSciNet review: 0295944