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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
DAM
2000
199views more  DAM 2000»
13 years 4 months ago
Approximation algorithms for the shortest total path length spanning tree problem
Given an undirected graph with a nonnegative weight on each edge, the shortest total path length spanning tree problem is to
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
CPC
1999
105views more  CPC 1999»
13 years 4 months ago
Total Path Length For Random Recursive Trees
Total path length, or search cost, for a rooted tree is defined as the sum of all root-to-node distances. Let Tn be the total path length for a random recursive tree of order n. M...
Robert P. Dobrow, James Allen Fill
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa
IJFCS
1998
67views more  IJFCS 1998»
13 years 4 months ago
Vertex Splitting in Dags and Applications to Partial Scan Designs and Lossy Circuits
Directed acyclic graphs (dags) are often used to model circuits. Path lengths in such dags represent circuit delays. In the vertex splitting problem, the objective is to determine...
Doowon Paik, Sudhakar M. Reddy, Sartaj Sahni