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Article Dans Une Revue Journal of Combinatorics and Number Theory Année : 2012

Pseudorandom binary functions on rooted plane trees

Résumé

In an earlier paper the authors considered r-almost s-uniform trees, i.e. rooted planar trees T such that the root has r successors, and every other vertex has s suc- cessors. They considered binary functions f : V (T ) → {−1, +1} defined on the set V (T ) of the vertices of such a tree T and studied the pseudorandomness of binary functions of this type. Here the authors extend the problem to general rooted plane trees: the measures of pseudorandomness of binary functions defined on trees of this type are introduced; the connection between these measures is analyzed; the size of these measures for truly random binary functions is studied; binary functions with strong pseudorandom properties are constructed; pseudorandom properties of impor- tant special binary functions are studied.
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Dates et versions

hal-01299513 , version 1 (07-04-2016)

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  • HAL Id : hal-01299513 , version 1

Citer

Pascal Hubert, Katalin Gyarmati, András Sárközy. Pseudorandom binary functions on rooted plane trees. Journal of Combinatorics and Number Theory, 2012, 4 (1), pp.1--19. ⟨hal-01299513⟩
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