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» On the Crossing Spanning Tree Problem
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SWAT
2004
Springer
129views Algorithms» more  SWAT 2004»
14 years 2 months ago
Collective Tree Spanners of Graphs
In this paper we introduce a new notion of collective tree spanners. We say that a graph G = (V, E) admits a system of µ collective additive tree r-spanners if there is a system T...
Feodor F. Dragan, Chenyu Yan, Irina Lomonosov
ESA
2001
Springer
105views Algorithms» more  ESA 2001»
14 years 1 months ago
On the Parameterized Complexity of Layered Graph Drawing
We consider graph drawings in which vertices are assigned to layers and edges are drawn as straight line-segments between vertices on adjacent layers. We prove that graphs admittin...
Vida Dujmovic, Michael R. Fellows, Michael T. Hall...
ENDM
2010
110views more  ENDM 2010»
13 years 9 months ago
Modelling the Hop Constrained Connected Facility Location Problem on Layered Graphs
Gouveia et al. [3] show how to model the Hop Constrained Minimum Spanning tree problem as Steiner tree problem on a layered graph. Following their ideas, we provide three possibil...
Ivana Ljubic, Stefan Gollowitzer
ALGORITHMICA
2007
80views more  ALGORITHMICA 2007»
13 years 9 months ago
Tree Spanners for Bipartite Graphs and Probe Interval Graphs
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Andreas Brandstädt, Feodor F. Dragan, Ho&agra...
DAC
1989
ACM
14 years 1 months ago
A New Approach to the Rectilinear Steiner Tree Problem
: We discuss a new approach to constructing the rectilinear Steiner tree (RST) of a given set of points in the plane, starting from a minimum spanning tree (MST). The main idea in ...
Jan-Ming Ho, Gopalakrishnan Vijayan, C. K. Wong