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Applicationof datastructures

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Hitesh Wagle
Hitesh Wagle
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Application of Data Structures
Overview ,[object Object],[object Object],[object Object],[object Object],[object Object]
Priority Queue (PQ) Structures ,[object Object],[object Object],[object Object],[object Object]
Common PQ operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Optional PQ operations ,[object Object],[object Object],[object Object],[object Object]
Considerations when implementing a PQ in competition ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Linear Array ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Binary Heaps ,[object Object],[object Object],[object Object],[object Object],[object Object]
Array implementation ,[object Object],[object Object],[object Object],[object Object],[object Object]
PQ Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on a BHeap ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
BHeap Operations: Summary ,[object Object],[object Object],[object Object],[object Object],[object Object]
Corollary: Heapsort ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Binomial Trees ,[object Object],[object Object],[object Object],[object Object],[object Object]
Properties of Binomial Trees ,[object Object],[object Object],[object Object],[object Object],[object Object]
Binomial Heaps ,[object Object],[object Object],[object Object],[object Object],[object Object]
Binomial Heap Implementation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on Binomial Trees ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Operations on binomial heaps ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
More Operations ,[object Object],[object Object],[object Object],[object Object]
Summary – Binomial Heaps ,[object Object],[object Object],[object Object],[object Object]
Application of heaps: Dijkstra ,[object Object],[object Object],[object Object],[object Object],[object Object]
Running of Dijkstra’s algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Analysis of running time ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum on Intervals ,[object Object],[object Object]
Cumulative Sum Array ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cumulative Sum Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sum of Intervals Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sum of Intervals Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sum of Intervals Tree ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Augmenting Data Structures ,[object Object],[object Object],[object Object],[object Object]
Other data structures ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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