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Proceedings of the American Mathematical Society

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

 

 

Isomorphism types of infinite symmetric graphs


Author: C. M. Bang
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
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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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DOI: https://doi.org/10.1090/S0002-9939-1972-0295944-0
Keywords: Isomorphism types, infinite symmetric graphs, 1-unary root algebra
Article copyright: © Copyright 1972 American Mathematical Society