Abstract
We derive a lower and an upper bound for the average stack size of a tree contained in a family F p (h) of non-regularly distributed binary trees introduced by P.W.Purdom for the purpose of modelling backtrack trees. The considered trees have a height less than or equal to h and their shapes are controlled by an external parameter p ∈ [0,1].
We show that the average stack size of a tree appearing in F p (h) is bounded by a constant for 0 ≤ p < ½, and that it grows at most logarithmically in h if p = ½; for ½ < p ≤ 1, the average stack size grows linearly in h.
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© 1992 B. G. Teubner Verlagsgesellschaft, Leipzig
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Kemp, R. (1992). On the Stack Size of a Class of Backtrack Trees. In: Buchmann, J., Ganzinger, H., Paul, W.J. (eds) Informatik. TEUBNER-TEXTE zur Informatik, vol 1. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-95233-2_16
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DOI: https://doi.org/10.1007/978-3-322-95233-2_16
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-8154-2033-1
Online ISBN: 978-3-322-95233-2
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