Cluster networks and Bruhat-Tits buildings
arXiv:1404.6960 · doi:10.1007/s11232-014-0191-9
Abstract
Clustering procedure for the case where instead of a fixed metric one applies a family of metrics is considered. In this case instead of a classification tree one obtains a classification network (a directed acyclic graph with non directed cycles). Relation to Bruhat-Tits buildings is discussed. Dimension of a general cluster system is considered.
11 pages