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CPC
1999
105views more  CPC 1999»
13 years 8 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
RSA
2011
126views more  RSA 2011»
13 years 3 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
APPROX
2000
Springer
153views Algorithms» more  APPROX 2000»
14 years 1 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...
CPC
2007
97views more  CPC 2007»
13 years 8 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger
JAL
2002
113views more  JAL 2002»
13 years 8 months ago
A multivariate view of random bucket digital search trees
We take a multivariate view of digital search trees by studying the number of nodes of different types that may coexist in a bucket digital search tree as it grows under an arbitr...
Friedrich Hubalek, Hsien-Kuei Hwang, William Lew, ...