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Binomial Heap 

Techlearners By Neeraj Saxena
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Introduction to binomial Heap and operations on binomial heap.
Binomial Heap is a collection of binomial trees
that satisfies the following properties
No two binomial trees in the collection have the same size
Each node in the collection has a key
Each binomial tree in the collection satisfies the heap order property
Roots of the binomial trees are connected and are in increasing order
or
A binomial heap H is a set of binomial trees
that satisfies the following binomial-heap
properties.
1. Each binomial tree in H obeys the min-heap property: the key of a node is greater than or equal to the key of its parent. We say that each such tree is min-heap-ordered.
2. For any nonnegative integer k, there is at most one binomial tree in H whose root has degree k.
Operations on Binomial Heap
Creation
Finding Minimum Key
Union
Insertion
Removal of the root of a tree
Decrease Key
Deletion
TECHLEARNERS BY NEERAJ SAXENA
www.techlearners.co.in

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28 июл 2024

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Комментарии : 9   
@Moonz97
@Moonz97 3 года назад
At 5:10, it should be 2^k nodes not 2k nodes for binomial tree Bk. Thanks for the video.
@NaveenKumar-be8pm
@NaveenKumar-be8pm 3 года назад
Great video. Just this typo shouldn't be missed.
@JackAdrianZappa
@JackAdrianZappa 2 года назад
09:18 roots of the binomial trees are connected and are in increasing Yet at 10:15, you show a binomial whos roots are not in increasing order.
@ShwetaSingh-le6xb
@ShwetaSingh-le6xb 3 года назад
Great Thank u so much
@TechlearnersbyNeerajSaxena
@TechlearnersbyNeerajSaxena 3 года назад
Welcome
@StoneAge20908
@StoneAge20908 Год назад
you have not discuss Application of binomial heap which you say that you will discuss at 0 : 36
@PKSon-ij3lh
@PKSon-ij3lh 2 года назад
You are making conceptual mistakes. At 5:40, 6 does not have degree 1. It has degree 0.No of nodes is not 2k, It is 2^k. So, for k=3, binomial tree will have 8 nodes (2^3). At 9:24 and 10:08, "Roots of binomial trees are connected and in increasing order".At 10:14, in the diagram you show, the connected roots are not in increasing order. If you do not wish to do it diligently, may as well not do it.
@TechlearnersbyNeerajSaxena
@TechlearnersbyNeerajSaxena 2 года назад
Thanq for your valuable feedback.. I will surely check where i need to be corrected. Thanks
@PKSon-ij3lh
@PKSon-ij3lh 2 года назад
Actually you have done an excellent work. Very informative lectures. I regret my harsh comment but it is just frustrating to have to look for additional sources just because of one or two small mistakes (one begins to suspect what else may be wrong and whether one should verify everything else in the books/reference material).. You are doing excellent and exceptional work. Thank you.
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