Ordinal Distances in Transfinite Graphs

Details Ordinal Distances in Transfinite Graphs Ordinal Distances in Transfinite Graphs

2002-09-11

arxiv.org/abs/math/0209128v1

Mathematics

Combinatorics

Scientific paper

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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