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SODA
1998
ACM
144views Algorithms» more  SODA 1998»
14 years 11 months ago
Analysis of Random Processes via And-Or Tree Evaluation
We introduce a new set of probabilistic analysis tools based on the analysis of And-Or trees with random inputs. These tools provide a unifying, intuitive, and powerful framework ...
Michael Luby, Michael Mitzenmacher, Mohammad Amin ...
CORR
2006
Springer
142views Education» more  CORR 2006»
14 years 10 months ago
Decentralized Erasure Codes for Distributed Networked Storage
We consider the problem of constructing an erasure code for storage over a network when the data sources are distributed. Specifically, we assume that there are n storage nodes wit...
Alexandros G. Dimakis, Vinod M. Prabhakaran, Kanna...
EJC
2006
14 years 10 months ago
A note on Ramsey numbers with two parameters
1 The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices2 either G contains G1 or G contains G2, where G denotes the complement of G. In this...
Yi Ru Huang, Jian Sheng Yang, Kemin Zhang
COMBINATORICS
2007
90views more  COMBINATORICS 2007»
14 years 9 months ago
Distinguishability of Locally Finite Trees
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
Mark E. Watkins, Xiangqian Zhou
DISOPT
2007
93views more  DISOPT 2007»
14 years 9 months ago
A polynomial time equivalence between DNA sequencing and the exact perfect matching problem
We investigate the computational complexity of a combinatorial problem that arises in DNA sequencing by hybridization: The input consists of an integer together with a set S of wo...
Jacek Blazewicz, Piotr Formanowicz, Marta Kasprzak...