Victor Chepoi, Hartmut Noltemeier, Yann Vaxes  Home/Search
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Abstract: Given a tree T ---- (V, E) endowed with a length function I and a cost function c, the diameter lowering problem consists in finding the reals 0 _ x(e) _ l(e),e E such that the tree obtained from T by decreasing the length of every edge e by x(e) units has minimal diameter subject to the constraint eE c(e)x(e) _ B, where B is the available budget (analogously, one can minimize the cost of lowering subject to a diameter constraint). We present an O(IVI 2) algorithm for solving this problem,... (Update)
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BibTeX entry: (Update)
@misc{ chepoi-upgrading,
author = "Victor Chepoi and Hartmut Noltemeier and Yann Vaxes",
title = "Upgrading Trees under Diameter and Budget Constraints",
url = "citeseer.ist.psu.edu/513320.html" }
Citations (may not include all citations):20 Location on networks: a survey (context) - Tansel, Francis et al. - 1983
4 Mod- ifying edges of a network to obtain short subgraphs - Drangmeister, Krumke et al.
1 AMS-DIMACS Volume Series on Discrete Mathematics and Theoret.. (context) - Krumke, Marathe et al. - 1998
Documents on the same site (http://www.lim.univ-mrs.fr/~chepoi/papers.html): More
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Embedding Into the Rectilinear Grid - Bandelt, Chepoi (Correct)
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