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SODA
1998
ACM
144views Algorithms» more  SODA 1998»
15 years 5 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»
15 years 4 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...
156
Voted
EJC
2006
15 years 4 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»
15 years 4 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»
15 years 4 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...