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RSA
2011
126views more  RSA 2011»
13 years 4 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 9 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
TWC
2008
112views more  TWC 2008»
13 years 9 months ago
Design and Analysis of Cross-Layer Tree Algorithms for Wireless Random Access
In this paper, we develop a random access scheme which combines the widely used binary exponential backoff (BEB) algorithm with a cross-layer tree algorithm (TA) that relies on suc...
Xin Wang, Yingqun Yu, Georgios B. Giannakis
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 10 months ago
Deterministic random walks on regular trees
Jim Propp's rotor router model is a deterministic analogue of a random walk on a graph. Instead of distributing chips randomly, each vertex serves its neighbors in a fixed or...
Joshua N. Cooper, Benjamin Doerr, Tobias Friedrich...