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COMPGEOM
2005
ACM
13 years 7 months ago
Minimum dilation stars
David Eppstein, Kevin A. Wortman
CATS
2007
13 years 6 months ago
Computing a Minimum-Dilation Spanning Tree is NP-hard
Given a set S of n points in the plane, a minimumdilation spanning tree of S is a tree with vertex set S of smallest possible dilation. We show that given a set S of n points and ...
Otfried Cheong, Herman J. Haverkort, Mira Lee
DM
2006
121views more  DM 2006»
13 years 5 months ago
The acircuitic directed star arboricity of subcubic graphs is at most four
A directed star forest is a forest all of whose components are stars with arcs emanating from the center to the leaves. The acircuitic directed star arboricity of an oriented grap...
Alexandre Pinlou, Eric Sopena
IAJIT
2011
12 years 8 months ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
GD
2006
Springer
13 years 9 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