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GD
2006
Springer
15 years 1 months ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
WG
2000
Springer
15 years 1 months ago
Budget Constrained Minimum Cost Connected Medians
Several practical instances of network design and location theory problems require the network to satisfy multiple constraints. In this paper, we address graph-theoretic problems t...
Goran Konjevod, Sven Oliver Krumke, Madhav V. Mara...
CORR
2006
Springer
128views Education» more  CORR 2006»
14 years 10 months ago
Minimum Cost Homomorphisms to Semicomplete Bipartite Digraphs
For digraphs D and H, a mapping f : V (D)V (H) is a homomorphism of D to H if uv A(D) implies f(u)f(v) A(H). If, moreover, each vertex u V (D) is associated with costs ci(u), i...
Gregory Gutin, Arash Rafiey, Anders Yeo
SODA
2004
ACM
156views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
ICCNMC
2005
Springer
15 years 3 months ago
Minimum Disc Cover Set Construction in Mobile Ad Hoc Networks
— The minimum disc cover set can be used to construct the dominating set on the fly for energy-efficient communications in mobile ad hoc networks. The approach used to compute ...
Min-Te Sun, Xiaoli Ma, Chih-Wei Yi, Chuan-Kai Yang...