Optimal Algorithms for the Path/Tree-Shaped Facility Location Problems in Trees

Binay Bhattacharya, Qiaosheng Shi, Arie Tamir
<span title="2007-12-14">2007</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/qhi3z76be5c5xeihac5cyiid3m" style="color: black;">Algorithmica</a> </i> &nbsp;
In this paper we consider the problem of locating path-shaped or tree-shaped (extensive) facility in trees under the conditions that exisiting facilities are already located. We introduced a parametric-pruning method to solve the weighted 1-center problem in trees. This method is more general than the method proposed by Megiddo in [9] . Using this method, optimal algorithms are devised for solving the conditional extensive weighted 1-center location problem in trees. This improves the recent results of O(n log n) by Tamir et al. [16] .
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00453-007-9157-8">doi:10.1007/s00453-007-9157-8</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/a244lkyuwnbdzijgii7jvzsczu">fatcat:a244lkyuwnbdzijgii7jvzsczu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070402020434/http://www.cs.sfu.ca:80/~qshi1/personal/papers/extensive_facility.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/2d/73/2d73c1ee6cebdd63833f8cb2dd4cf624bc23d057.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s00453-007-9157-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>