Analysis of Random Processes via And-Or Tree Evaluation

TitleAnalysis of Random Processes via And-Or Tree Evaluation
Publication TypeTechnical Report
Year of Publication1997
AuthorsLuby, M., Mitzenmacher M., & M. Shokrollahi A.
Other Numbers1106

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 for carrying out the analysis of several previously studied random processes. including random loss-resilient codes, solving random k-SAT formulae using the pure literal rule, the greedy algorithm for matchings in random graphs. In addition, these tools allow generalizations of these problems not previously analyzed to be analyzed in a straightforward manner. We illustrate our methodology on the three problems listed above.

Bibliographic Notes

ICSI Technical Report TR-97-042

Abbreviated Authors

M. G. Luby, M. Mitzenmacher, and M. A. Shokrollahi

ICSI Publication Type

Technical Report