TY - GEN

T1 - Improved upper bounds for pairing heaps

AU - Iacono, John

N1 - Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2000.

PY - 2000

Y1 - 2000

N2 - Pairing heaps are shown to have constant amortized time in-sert and zero amortized time meld, thus improving the previous O(log n) amortized time bound on these operations. It is also shown that pairing heaps have a distribution sensitive behavior whereby the cost to per-form an extract-min on an element x is O(log min(n; k)) where k is the number of heap operations performed since x's insertion. Fredman has observed that pairing heaps can be used to merge sorted lists of varying sized optimally, within constant factors. Utilizing the distribution sensi-tive behavior of pairing heap, an alternative method the employs pairing heaps for optimal list merging is derived.

AB - Pairing heaps are shown to have constant amortized time in-sert and zero amortized time meld, thus improving the previous O(log n) amortized time bound on these operations. It is also shown that pairing heaps have a distribution sensitive behavior whereby the cost to per-form an extract-min on an element x is O(log min(n; k)) where k is the number of heap operations performed since x's insertion. Fredman has observed that pairing heaps can be used to merge sorted lists of varying sized optimally, within constant factors. Utilizing the distribution sensi-tive behavior of pairing heap, an alternative method the employs pairing heaps for optimal list merging is derived.

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U2 - 10.1007/3-540-44985-X

DO - 10.1007/3-540-44985-X

M3 - Conference contribution

AN - SCOPUS:84956859079

SN - 3540676902

SN - 9783540676904

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 32

EP - 45

BT - Algorithm Theory - SWAT 2000 - 7th Scandinavian Workshop on Algorithm Theory, 2000, Proceedings

A2 - Halldórsson, Magnús M.

PB - Springer Verlag

T2 - 7th Scandinavian Workshop on Algorithm Theory, SWAT 2000

Y2 - 5 July 2000 through 7 July 2000

ER -