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Ordinal Distances in Transfinite Graphs

A. H. Zemanian

math.COarXiv:math/0209128

Abstract

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 concerning nodal eccentricities, radii, diameters, centers, peripheries, and blocks can be extended to transfinite graphs.

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