Skip to main content
Article thumbnail
Location of Repository

Trade-offs in non-reversing diameter

By H.L. Bodlaender, G. Tel and N. Santoro

Abstract

Consider a tree T with a number of extra adges (the bridges) added. We consider the notion of diameter, that is obtained by admitting only paths p with the property that for every bridge b in path p, no edge is on the unique path (in T) between the endpoints of b is also in p or on the unique path between the two endpoints of any other bridge in p. (Such a path is called non-reversing.) We investigate the trade-off between the number of added bridges and te resulting diameter. Upper and lower bounds of the same order are obtained for alle diameters of constant size. For the special case where T is a chain we also obtain matching uper and lower bounds for diameters of size a(N) + O(l) or of size f(N) where f(N) grows faster than a(N). Some applications are given

Topics: Wiskunde en Informatica
Year: 1994
OAI identifier: oai:dspace.library.uu.nl:1874/2312
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://dspace.library.uu.nl:80... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.