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» A degree bound on decomposable trees
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WEA
2007
Springer
158views Algorithms» more  WEA 2007»
15 years 5 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers
IPL
2002
90views more  IPL 2002»
14 years 11 months ago
On the approximability of two tree drawing conventions
We consider two aesthetic criteria for the visualization of rooted trees: inclusion and tip-over. Finding the minimum area layout according to either of these two standards is an ...
Paolo Penna
COCO
2010
Springer
144views Algorithms» more  COCO 2010»
15 years 3 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...
NETWORKS
2008
14 years 11 months ago
Lower bounds for two-period grooming via linear programming duality
In a problem arising in grooming for two-period optical networks, it is required to decompose the complete graph on n vertices into subgraphs each containing at most C edges, so t...
Charles J. Colbourn, Gaetano Quattrocchi, Violet R...
DAM
2007
70views more  DAM 2007»
14 years 11 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur