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Ordinal Distances in Transfinite Graphs - MaRDI portal

Ordinal Distances in Transfinite Graphs

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Publication:6472107

arXivmath/0209128MaRDI QIDQ6472107

Armen H. Zemanian

Publication date: 11 September 2002

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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