Lecture12 - IE 495 Lecture 12 October 5, 2000 Reading for...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: IE 495 Lecture 12 October 5, 2000 Reading for This Lecture Primary ¡ Horowitz and Sahni, Chapter 2, Section 3 ¡ Kozen, Lectures 8-11 Review From Last Time Binomial Trees The binomial tree of rank i ( B i ) is defined recursively. B i consists of a root with i children B 0 , . . ., B i-1 . B B 3 B 2 B 1 Binomial Heaps A binomial heap is a collection of heap ordered binomial trees and a pointer to the overall max/min. No more than one tree of each rank is allowed. The children of each vertex are maintained in a circular linked list . The basic operation is linking . Two trees of rank i can be combined into one tree of rank i+1 in constant time. Eager Meld We can combine two heaps by performing a meld() reminiscent of binary addition. Successively link trees of equal rank and " carry " one if necessary. Must track the position of the new min/max element. This operation takes O ( log n ) time. Inserting into a Binomial Heap To insert() an element: ¡ Make a new heap from the single element to be inserted....
View Full Document

This note was uploaded on 08/06/2008 for the course IE 495 taught by Professor Linderoth during the Fall '08 term at Lehigh University .

Page1 / 20

Lecture12 - IE 495 Lecture 12 October 5, 2000 Reading for...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online