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DISOPT
2011
240views Education» more  DISOPT 2011»
14 years 4 months ago
On the directed Full Degree Spanning Tree problem
We study the parameterized complexity of a directed analog of the Full Degree Spanning Tree problem where, given a digraph D and a nonnegative integer k, the goal is to construct a...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
IJON
2010
121views more  IJON 2010»
14 years 7 months ago
Sample-dependent graph construction with application to dimensionality reduction
Graph construction plays a key role on learning algorithms based on graph Laplacian. However, the traditional graph construction approaches of -neighborhood and k-nearest-neighbor...
Bo Yang, Songcan Chen
STOC
2001
ACM
139views Algorithms» more  STOC 2001»
15 years 10 months ago
Approximate distance oracles
Let G = (V, E) be an undirected weighted graph with |V | = n and |E| = m. Let k 1 be an integer. We show that G = (V, E) can be preprocessed in O(kmn1/k ) expected time, construc...
Mikkel Thorup, Uri Zwick
JCO
2007
97views more  JCO 2007»
14 years 9 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
JGT
2008
107views more  JGT 2008»
14 years 9 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir