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Algorithm is a step by step procedure to solve a particular problem . It includes sorting algorithm such as insertion sort , linear search and so on. These algorithm are used for searching of data with in a minimal amount of time .Algorithm is a set of instructions arranged logically . Each algorithm has different time complexity . Algorithm shows how to insert new data , how to search data , how to delete data.
Computer science is process of computation and steps . Few topics include approximation algorithms, complexity theory, computational geometry, learning theory, online algorithms. The main purpose of research is to measure the impact on real world problems and solving these problems .
Few topics :
- Boolean algebra
- Propositional logic
- Predicate logic
- Data structures
- Greedy algorithms
- Minimum spanning trees.
- Kruskal's algorithm.
- Prim's algorithm.
- Dijkstra's algorithm
- Divide and conquer algorithms
- Dynamic programming
Topics for Algorithms and Theory
- Problems, complexity, analysis, Divide and conquer, Mergesort, Quicksort, order statistics, Dynamic programming, Greedy algorithms, Minimum spanning trees, Encoding problems, polynomial time , polynomial time verification , NP completeness , reducibility, polynomial time verification, NP completeness proofs, NP complete problems, Approximation algorithms, String matching, Computational geometry, Maximum flow, Maximum bipartite matching, table matching problem
- Five representative problems, Algorithm Analysis , Comptutational tractability, Asymptotic order of growth, Graphs , Graph traversal, Testing bipartiteness, Connectivity in directed graphs, DAGs , Topological ordering, Greedy Algorithms, Interval scheduling, Scheduling to minimize lateness, Critiques Dijkstras algorithm, Minimum spanning tree , Prims algorithm, Kruskals algorithm, UnionFind data structure, Clustering, Divide and Conquer, Mergesort, Unrolling the recurrence
- substitution , annihilators, Counting inversions, Closest pair of points, Integer multiplication, Dynamic Programming, Weighted interval scheduling, Coin changing, Segmented least squares, Subset sum problem, Sequence alignment, Shortest paths, Network Flows, Maximum Flow problem , Ford Fulkerson algorithm, Maximum flows , minimum cuts, Improving Ford Fulkerson , Bipartite matching, Disjoint paths, Extensions to Max Flow, Project selection, Computational Intractability, complexity classes, P , NP, EXP, Polynomial time reductions , Hamiltonian Path, Vertex Cover, Independent Set, Clique, Subset Sum, Turing Machines , Church Turing Thesis, Cook Levin Theorem , PCP theorem, NP hard problems on trees