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On the average distance property of spheres in Banach spaces

โœ Scribed by Reinhard Wolf


Publisher
Springer
Year
1994
Tongue
English
Weight
297 KB
Volume
62
Category
Article
ISSN
0003-889X

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On the average Steiner distance of graph
โœ Peter Dankelmann; Henda C. Swart; Ortrud R. Oellermann ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 703 KB

The average n-distance of a connected graph G, p,,(G), is the average of the Steiner distances of all n-sets of vertices of G. In this paper, we give bounds on pn for two-connected graphs and for k-chromatic graphs. Moreover, we show that pn(G) does not depend on the n-diameter of G.