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Average-Case Analysis of Cousins in m-ary Tries
Published online by Cambridge University Press: 14 July 2016
Abstract
We investigate the average similarity of random strings as captured by the average number of ‘cousins’ in the underlying tree structures. Analytical techniques including poissonization and the Mellin transform are used for accurate calculation of the mean. The string alphabets we consider are m-ary, and the corresponding trees are m-ary trees. Certain analytic issues arise in the m-ary case that do not have an analog in the binary case.
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- Copyright © Applied Probability Trust 2008
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