scholarly journals An O(n log2 n) Algorithm for a Sink Location Problem in Dynamic Tree Networks

Author(s):  
Satoko Mamada ◽  
Takeaki Uno ◽  
Kazuhisa Makino ◽  
Satoru Fujishige
2006 ◽  
Vol 154 (16) ◽  
pp. 2387-2401 ◽  
Author(s):  
Satoko Mamada ◽  
Takeaki Uno ◽  
Kazuhisa Makino ◽  
Satoru Fujishige

2014 ◽  
Vol 18 (4) ◽  
pp. 539-555 ◽  
Author(s):  
Yuya Higashikawa ◽  
Mordecai J. Golin ◽  
Naoki Katoh

Author(s):  
Taibo Luo ◽  
Hongmei Li ◽  
Shaofeng Ru ◽  
Weitian Tong ◽  
Yinfeng Xu

Author(s):  
Amos Korman ◽  
David Peleg ◽  
Yoav Rodeh

2014 ◽  
Vol 31 (1) ◽  
pp. 79-94 ◽  
Author(s):  
Hongmei Li ◽  
Yinfeng Xu ◽  
Guanqun Ni

Top ◽  
2012 ◽  
Vol 22 (1) ◽  
pp. 227-253 ◽  
Author(s):  
Mark-Christoph Körner ◽  
Juan A. Mesa ◽  
Federico Perea ◽  
Anita Schöbel ◽  
Daniel Scholz

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Longshu Wu ◽  
Joonwhoan Lee ◽  
Jianhua Zhang ◽  
Qin Wang

Location problems exist in the real world and they mainly deal with finding optimal locations for facilities in a network, such as net servers, hospitals, and shopping centers. The inverse location problem is also often met in practice and has been intensively investigated in the literature. As a typical inverse location problem, the inverse 1-median problem on tree networks with variable real edge lengths is discussed in this paper, which is to modify the edge lengths at minimum total cost such that a given vertex becomes a 1-median of the tree network with respect to the new edge lengths. First, this problem is shown to be solvable in linear time with variable nonnegative edge lengths. For the case when negative edge lengths are allowable, the NP-hardness is proved under Hamming distance, and strongly polynomial time algorithms are presented underl1andl∞norms, respectively.


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