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Algorithm Analysis (Detailed Syllabus)

Introduction:
What is algorithm?
Why analyze algorithms?
RAM Model of computation
Order notations
An example with different algorithms for the Maximum Subsequent Sum problem.
Sorting:
Insertion Sort
Shell Sort
Heap sort
Merge Sort
Quick Sort, Selection Algorithm
Lower bound of sorting
Bucket Sort
Extension of sorting toward noncomparable objects
Disjoint Set ADT:
Equivalence relations
Dynamic equivalence problem
Graph Algorithms:
Topological Sort
Queuebased topological sort algorithm
Shortest Path on unweighted graph
Dijkstra’s algorithm for weighted graph
Proof of D’s algorithm
Modified D’s algorithm for negative weighted graph
D’s algorithm for acyclic graph: Critical path analysis problem
Allpairs shortest path
Maximum flow problem
Minimum Spanning Tree problem: Prim’s and Kruskal’s algorithm
Graph Algorithms (continued):
DFS algorithm and Finding Articulation points in Biconnected graph
Euler Circuits
Finding Strongly connected components
Articulation points detection
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This note was uploaded on 02/10/2012 for the course CSE 5211 taught by Professor Dmitra during the Spring '12 term at FIT.
 Spring '12
 Dmitra
 Algorithms, Insertion Sort

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