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» Randomized path coloring on binary trees
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APPROX
2000
Springer
153views Algorithms» more  APPROX 2000»
13 years 9 months ago
Randomized path coloring on binary trees
Motivated by the problem of WDM routing in all–optical networks, we study the following NP–hard problem. We are given a directed binary tree T and a set R of directed paths on ...
Vincenzo Auletta, Ioannis Caragiannis, Christos Ka...
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 11 months ago
The total path length of split trees
We consider the model of random trees introduced by Devroye [SIAM J Comput 28, 409– 432, 1998]. The model encompasses many important randomized algorithms and data structures. T...
Nicolas Broutin, Cecilia Holmgren
COLOGNETWENTE
2009
13 years 5 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
CPC
2002
80views more  CPC 2002»
13 years 4 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger
COMBINATORICA
2011
12 years 4 months ago
Binary subtrees with few labeled paths
We prove several quantitative Ramseyan results involving ternary complete trees with {0, 1}-labeled edges where we attempt to find a complete binary subtree with as few labels as ...
Rodney G. Downey, Noam Greenberg, Carl G. Jockusch...