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CORR
2010
Springer
69views Education» more  CORR 2010»
13 years 2 months ago
Embedding a Forest in a Graph
For p 1, we prove that every forest with p trees whose sizes are a1, . . . , ap can be embedded in any graph containing at least p i=1(ai + 1) vertices and having minimum degree ...
Mark K. Goldberg, Malik Magdon-Ismail
STOC
2010
ACM
295views Algorithms» more  STOC 2010»
14 years 7 days ago
Approximation Schemes for Steiner Forest on Planar Graphs and Graphs of Bounded Treewidth
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
MohammadHossein Bateni, MohammadTaghi Hajiaghayi a...
BMCBI
2007
147views more  BMCBI 2007»
13 years 7 months ago
Bias in random forest variable importance measures: Illustrations, sources and a solution
Variable importance measures for random forests have been receiving increased attention as a means of variable selection in many classification tasks in bioinformatics and relate...
Carolin Strobl, Anne-Laure Boulesteix, Achim Zeile...
DM
2002
134views more  DM 2002»
13 years 7 months ago
Covering a hypergraph of subgraphs
Let G be a tree and let H be a collection of subgraphs of G, each having at most d connected components. Let (H) denote the maximum number of members of H no two of which share a ...
Noga Alon
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 2 months ago
Partitions and Coverings of Trees by Bounded-Degree Subtrees
This paper addresses the following questions for a given tree T and integer d 2: (1) What is the minimum number of degree-d subtrees that partition E(T)? (2) What is the minimum n...
David R. Wood