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» On the Crossing Spanning Tree Problem
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SWAT
2004
Springer
129views Algorithms» more  SWAT 2004»
15 years 11 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»
15 years 10 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»
15 years 6 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»
15 years 6 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
15 years 10 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