Isomorphism types of infinite symmetric graphs
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 pairwise nonisomorphic infinite symmetric graphs of order m, for each infinite cardinal m.
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 05C99
Retrieve articles in all journals with MSC: 05C99
Keywords: Isomorphism types, infinite symmetric graphs, 1-unary root algebra
Article copyright: © Copyright 1972 American Mathematical Society