Abstract
We consider succinct representations of labeled ordinal trees that support a rich set of operations. Our new representations support a much broader collection of operations than previous work [10,8,1]. In our approach, labels of nodes are stored in a preorder label sequence, which can be compressed using any succinct index for strings that supports rank α and select α operations. In other words, we present a framework for succinct representations of labeled ordinal trees that allows alphabets to be large. This answers an open problem presented by Geary et al. [10]. We further extend our work and present the first succinct representation of dynamic labeled ordinal trees that supports several label-based operations including finding the level ancestor with a given label.
This work was supported by NSERC and the Canada Research Chairs Program.
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He, M., Munro, J.I., Zhou, G. (2012). A Framework for Succinct Labeled Ordinal Trees over Large Alphabets. In: Chao, KM., Hsu, Ts., Lee, DT. (eds) Algorithms and Computation. ISAAC 2012. Lecture Notes in Computer Science, vol 7676. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35261-4_56
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DOI: https://doi.org/10.1007/978-3-642-35261-4_56
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