A Linear Potential Function for Pairing Heaps

نویسندگان

  • John Iacono
  • Mark V. Yagnatinsky
چکیده

We present the first potential function for pairing heaps with linear range. This implies that the runtime of a short sequence of operations is faster than previously known. It is also simpler than the only other potential function known to give amortized constant amortized time

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Pairing Heaps are Sub - optimalbyMichael

Pairing heaps were introduced as a self-adjusting alternative to Fibonacci heaps. They provably enjoy log n amortized costs for the standard heap operations. Although it has not been veri ed that pairing heaps perform the decrease key operation in constant amortized time, this has been conjectured and extensive experimental evidence supports this conjecture. Moreover, pairing heaps have been ob...

متن کامل

Pairing heaps: the forward variant

The pairing heap is a classical heap data structure introduced in 1986 by Fredman, Sedgewick, Sleator, and Tarjan. It is remarkable both for its simplicity and for its excellent performance in practice. The “magic” of pairing heaps lies in the restructuring that happens after the deletion of the smallest element. The resulting collection of trees is consolidated in two rounds: a left-to-right p...

متن کامل

Improved Upper Bounds for Pairing Heaps

Pairing heaps are shown to have constant amortized time Insert and Meld, thus showing that pairing heaps have the same amortized runtimes as Fibonacci heaps for all operations but Decrease-Key.

متن کامل

Rank-Pairing Heaps

We introduce the rank-pairing heap, a heap (priority queue) implementation that combines the asymptotic efficiency of Fibonacci heaps with much of the simplicity of pairing heaps. Unlike all other heap implementations that match the bounds of Fibonacci heaps, our structure needs only one cut and no other structural changes per key decrease; the trees representing the heap can evolve to have arb...

متن کامل

A Systematic Analysis of Splaying

In this paper we perform an amortized analysis of a functional program for splaying. We construct a potential function that yields the same bound for the amortized cost of splaying as given by D.D. Sleator and R.E. Tarjan—the inventors of splay trees. In addition, we show that this bound is minimal for the class of “sum of logs” potentials. Our approach also applies to the analysis of path reve...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016