Abstract
B-slack trees a subclass of B-trees that have substantially better worst-case space complexity, are introduced. They store n keys in height O(log b n), where b is the maximum node degree. Updates can be performed in \(O(\log_{\frac b 2} n)\) amortized time. A relaxed balance version, which is well suited for concurrent implementation, is also presented.
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References
Arnow, D.M., Tenenbaum, A.M.: An empirical comparison of B-trees, compact B-trees and multiway trees. ACM SIGMOD Record 14, 33–46 (1984)
Arnow, D.M., Tenenbaum, A.M., Wu, C.: P-trees: Storage efficient multiway trees. In: Proceedings of the 8th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 111–121. ACM (1985)
Baeza-Yates, R.A., Larson, P.-A.: Performance of B+-trees with partial expansions. IEEE Transactions on Knowledge and Data Eng. 1(2), 248–257 (1989)
Bayer, R., McCreight, E.: Organization and maintenance of large indexes. Technical Report D1-82-0989, Boeing Scientific Research Laboratories (1970)
Brönnimann, H., Katajainen, J., Morin, P.: Putting your data structure on a diet. CPH STL Rep, 1 (2007)
Brown, T., Ellen, F., Ruppert, E.: A general technique for non-blocking trees. In: Proc. of the 19th ACM SIGPLAN Symp. on Principles and Practice of Parallel Programming, PPoPP 2014, pp. 329–342. ACM, New York (2014)
Culik II, K., Ottmann, T., Wood, D.: Dense multiway trees. ACM Transactions on Database Systems (TODS) 6(3), 486–512 (1981)
Huang, S.-H.S.: Height-balanced trees of order (β, γ, δ). ACM Trans. Database Syst. 10(2), 261–284 (1985)
Küspert, K.: Storage utilization in B*-trees with a generalized overflow technique. Acta Informatica 19(1), 35–55 (1983)
Larsen, K., Soisalon-Soininen, E., Widmayer, P.: Relaxed balance through standard rotations. In: Rau-Chaplin, A., Dehne, F., Sack, J.-R., Tamassia, R. (eds.) WADS 1997. LNCS, vol. 1272, pp. 450–461. Springer, Heidelberg (1997)
Rosenberg, A.L., Snyder, L.: Compact B-trees. In: Proceedings of the 1979 ACM SIGMOD International Conference on Management of Data, SIGMOD 1979, pp. 43–51. ACM, New York (1979)
Srinivasan, B.: An adaptive overflow technique to defer splitting in B-trees. The Computer Journal 34(5), 397–405 (1991)
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Brown, T. (2014). B-slack Trees: Space Efficient B-Trees. In: Ravi, R., Gørtz, I.L. (eds) Algorithm Theory – SWAT 2014. SWAT 2014. Lecture Notes in Computer Science, vol 8503. Springer, Cham. https://doi.org/10.1007/978-3-319-08404-6_11
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DOI: https://doi.org/10.1007/978-3-319-08404-6_11
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