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arXiv · 1206.6193

Data Structures on Event Graphs

Bernard Chazelle·Wolfgang Mulzer
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Abstract

We investigate the behavior of data structures when the input and operations are generated by an event graph. This model is inspired by Markov chains. We are given a fixed graph G, whose nodes are annotated with operations of the type insert, delete and query. The algorithm responds to the requests as it encounters them during a (random or adversarial) walk in G. We study the limit behavior of such a walk and give an efficient algorithm for recognizing which structures can be generated. We also give a near-optimal algorithm for successor searching if the event graph is a cycle and the walk is adversarial. For a random walk, the algorithm becomes optimal.

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Bernard Chazelle, Wolfgang Mulzer. 2013-09-29. Data Structures on Event Graphs. https://doi.org/10.1007/s00453-013-9838-4

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