Abstract
As an alternative to the Fibonacci heap, we design a new data structure called a 2-3 heap, which supports m decrease-key and insert operations, and n delete-min operations in O(m + n log n) time. The merit of the 2—3 heap is that it is conceptually simpler and easier to implement. The new data structure will have a wide application in graph algorithms.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Adel'son-Vel'skii, G.M, and Y.M. Landis, An algorithm for the organization of information, Soviet Math. Dokl. 3 (1962) 1259–1262.
Aho, A.V., J.E. Hopcroft, and J.D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley (1974).
Ahuja, K., K. Melhorn, J.B. Orlin, and R.E. Tarjan, Faster algorithms for the shortest path problem, Jour. ACM, 37 (1990) 213–223.
Bondy, J.A. and U.S.R. Murty, Graph Theory with Applications, Macmillan Press (1976).
Dijkstra, E.W., A note on two problems in connexion with graphs, Numer. Math. 1 (1959) 269–271.
Fredman, M.L. and R,E, Tarjan, Fibonacci heaps and their uses in inproved network optimization algorithms, Jour. ACM 34 (1987) 596–615
Prim, R.C., Shortest connection networks and some generalizations, Bell Sys. Tech. Jour. 36 (1957) 1389–1401.
Vuillemin, J., A data structure for manipulating priority queues, Comm. ACM 21 (1978) 309–314.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Takaoka, T. (1999). Theory of 2-3 Heaps. In: Asano, T., Imai, H., Lee, D.T., Nakano, Si., Tokuyama, T. (eds) Computing and Combinatorics. COCOON 1999. Lecture Notes in Computer Science, vol 1627. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48686-0_4
Download citation
DOI: https://doi.org/10.1007/3-540-48686-0_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66200-6
Online ISBN: 978-3-540-48686-2
eBook Packages: Springer Book Archive