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math.CO2002
Ordinal Distances in Transfinite Graphs
A. H. Zemanian
An ordinal-valued metric taking its values in the set of all countable ordinals can be assigned to a metrizable set of nodes in a transfinite graph. Then, a variety of results conc…
math.CO2002
Nonstandard Graphs
A. H. Zemanian
From any given sequence of finite or infinite graphs, a nonstandard graph is constructed. The procedure is similar to an ultrapower construction of an internal set from a sequence…