In this paper we introduce a depth function for distributions on graphs that is analogous to recent multivariate definitions. Using the property of geodesic convexity on graphs, a median-like center for distributions on graphs is constructed and applied to ranking data as well as multivariate data spanned by the minimal spanning tree.
Ann. Statist.
25(2):
478-494
(April 1997).
DOI: 10.1214/aos/1031833660
