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» Deterministic Edge Weights in Increasing Tree Families
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CPC
2010
64views more  CPC 2010»
13 years 5 months ago
Deterministic Edge Weights in Increasing Tree Families
Markus Kuba, Stephan Wagner
NETWORKS
2008
13 years 5 months ago
A linear programming approach to increasing the weight of all minimum spanning trees
Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so tha...
Mourad Baïou, Francisco Barahona
ACTA
2008
88views more  ACTA 2008»
13 years 3 months ago
Weighted height of random trees
We consider a model of random trees similar to the split trees of Devroye [30] in which a set of items is recursively partitioned. Our model allows for more flexibility in the cho...
Nicolas Broutin, Luc Devroye, Erin McLeish
ICALP
2009
Springer
14 years 5 months ago
Node-Weighted Steiner Tree and Group Steiner Tree in Planar Graphs
We improve the approximation ratios for two optimization problems in planar graphs. For node-weighted Steiner tree, a classical network-optimization problem, the best achievable ap...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Philip ...
DM
2008
104views more  DM 2008»
13 years 5 months ago
On edge-weighted recursive trees and inversions in random permutations
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
Markus Kuba, Alois Panholzer