Average-case analysis on simple families of trees using a balanced probabilistic model
Document typeExternal research report
Rights accessOpen Access
In this paper we study a balanced probability model defined over simple families of trees, which from the point of doing statistics on trees, behave in quite a different way from the uniform distribution. Using the new model, the analysis itself is more complex, but feasible. We illustrate our point by working out some particular simple cases of study: the computation of occupancy (a measure of the degree of balancing in trees), and the average size of the intersection of two-m-ary trees. The development of the last analysis involves the use of sophisticated tools, such as Riemman's method to solve partial differential equations. These average complexities are then compared with the ones obtained if the uniform model is assumed.
CitationCases, R.; Diaz, J.; Martinez, C. Average-case analysis on simple families of trees using a balanced probabilistic model. 1991.
Is part ofLSI-91-4