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Algorithms Complexity

Track :

Programming

Lessons no : 76

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What will you learn in this course?
  • Understand and analyze algorithmic complexity using Big O, Big Theta, and Big Omega notations for efficient problem-solving
  • Evaluate the performance of algorithms based on input size and computational resources in real-world applications
  • Identify and compare the time and space complexities of various algorithms across different problem domains
  • Apply asymptotic analysis techniques to optimize algorithms for scalability and efficiency in software development
  • Determine the most suitable algorithmic approach for specific problems by assessing complexity trade-offs
  • Interpret complexity functions to predict algorithm behavior and performance in practical scenarios
  • Utilize complexity analysis to improve algorithm design, reducing runtime and memory usage in large-scale systems
  • Assess the impact of algorithmic complexity on system performance and computational resource management

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Lessons | 76
Introduction Georgia Tech Computability Complexity Theory Complexity
00:01:05

Introduction Georgia Tech Computability Complexity Theory Complexity
Friends or Enemies Georgia Tech Computability Complexity Theory Complexity
00:01:14

Friends or Enemies Georgia Tech Computability Complexity Theory Complexity
Find a Clique Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:09

Find a Clique Quiz Georgia Tech Computability Complexity Theory Complexity
Find a Clique Quiz Solution Georgia Tech Computability Complexity Theory Complexity
00:00:24

Find a Clique Quiz Solution Georgia Tech Computability Complexity Theory Complexity
P and NP Georgia Tech Computability Complexity Theory Complexity
00:02:03

P and NP Georgia Tech Computability Complexity Theory Complexity
Delicacy of Tractability Georgia Tech Computability Complexity Theory Complexity
00:02:58

Delicacy of Tractability Georgia Tech Computability Complexity Theory Complexity
Running Time Analysis Georgia Tech Computability Complexity Theory Complexity
00:01:32

Running Time Analysis Georgia Tech Computability Complexity Theory Complexity
Asymptotic Analysis Georgia Tech Computability Complexity Theory Complexity
00:02:02

Asymptotic Analysis Georgia Tech Computability Complexity Theory Complexity
Big O Question Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:31

Big O Question Quiz Georgia Tech Computability Complexity Theory Complexity
Big O Question Quiz Solution Georgia Tech Computability Complexity Theory Complexity
00:00:30

Big O Question Quiz Solution Georgia Tech Computability Complexity Theory Complexity
The Class P Georgia Tech Computability Complexity Theory Complexity
00:02:24

The Class P Georgia Tech Computability Complexity Theory Complexity
Problems and Encodings Georgia Tech Computability Complexity Theory Complexity
00:02:20

Problems and Encodings Georgia Tech Computability Complexity Theory Complexity
Which are in P Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:30

Which are in P Quiz Georgia Tech Computability Complexity Theory Complexity
Which are in P Quiz Solution Georgia Tech Computability Complexity Theory Complexity
00:00:45

Which are in P Quiz Solution Georgia Tech Computability Complexity Theory Complexity
Nondeterministic TMs Georgia Tech Computability Complexity Theory Complexity
00:02:31

Nondeterministic TMs Georgia Tech Computability Complexity Theory Complexity
Which Language Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:55

Which Language Quiz Georgia Tech Computability Complexity Theory Complexity
Which Language Quiz Solution Georgia Tech Computability Complexity Theory Complexity
00:00:39

Which Language Quiz Solution Georgia Tech Computability Complexity Theory Complexity
Composite Numbers Georgia Tech Computability Complexity Theory Complexity
00:03:08

Composite Numbers Georgia Tech Computability Complexity Theory Complexity
The Class NP Georgia Tech Computability Complexity Theory Complexity
00:01:21

The Class NP Georgia Tech Computability Complexity Theory Complexity
NP Equals Verifiability Intuition Georgia Tech Computability Complexity Theory Complexity
00:01:18

NP Equals Verifiability Intuition Georgia Tech Computability Complexity Theory Complexity
NP Equals Verifiability Georgia Tech Computability Complexity Theory Complexity
00:02:47

NP Equals Verifiability Georgia Tech Computability Complexity Theory Complexity
Which is in NP Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:26

Which is in NP Quiz Georgia Tech Computability Complexity Theory Complexity
Which is in NP Quiz Solution Georgia Tech Computability Complexity Theory Complexity
00:00:53

Which is in NP Quiz Solution Georgia Tech Computability Complexity Theory Complexity
P and NP Conclusion Georgia Tech Computability Complexity Theory Complexity
00:01:12

P and NP Conclusion Georgia Tech Computability Complexity Theory Complexity
Introduction Georgia Tech Computability Complexity Theory Complexity
00:00:23

Introduction Georgia Tech Computability Complexity Theory Complexity
The Hardest Problems in NP Georgia Tech Computability Complexity Theory Complexity
00:03:25

The Hardest Problems in NP Georgia Tech Computability Complexity Theory Complexity
Polynomial Reductions Georgia Tech Computability Complexity Theory Complexity
00:01:48

Polynomial Reductions Georgia Tech Computability Complexity Theory Complexity
Running Time of Composition Quiz GT Computability Complexity Theory Complexity
00:00:23

Running Time of Composition Quiz GT Computability Complexity Theory Complexity
Running Time of Composition Solution GT Computability Complexity Theory Complexity
00:00:57

Running Time of Composition Solution GT Computability Complexity Theory Complexity
Polynomial Reductions Part 2 Georgia Tech Computability Complexity Theory Complexity
00:00:39

Polynomial Reductions Part 2 Georgia Tech Computability Complexity Theory Complexity
What Do Reductions Imply Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:12

What Do Reductions Imply Quiz Georgia Tech Computability Complexity Theory Complexity
What Do Reductions Imply Solution GT Computability Complexity Theory Complexity
00:00:32

What Do Reductions Imply Solution GT Computability Complexity Theory Complexity
Independent Set Georgia Tech Computability Complexity Theory Complexity
00:02:01

Independent Set Georgia Tech Computability Complexity Theory Complexity
Find an Independent Set Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:11

Find an Independent Set Quiz Georgia Tech Computability Complexity Theory Complexity
Find an Independent Set Solution GT Computability Complexity Theory Complexity
00:00:16

Find an Independent Set Solution GT Computability Complexity Theory Complexity
Vertex Cover Georgia Tech Computability Complexity Theory Complexity
00:01:01

Vertex Cover Georgia Tech Computability Complexity Theory Complexity
Find a Vertex Cover Quiz Georgia Tech Computability Complexity Theory Complexity
00:00:12

Find a Vertex Cover Quiz Georgia Tech Computability Complexity Theory Complexity
Find a Vertex Cover Solution Georgia Tech Computability Complexity Theory Complexity
00:00:14

Find a Vertex Cover Solution Georgia Tech Computability Complexity Theory Complexity
Vertex Cover Ind Set Georgia Tech Computability Complexity Theory Complexity
00:01:29

Vertex Cover Ind Set Georgia Tech Computability Complexity Theory Complexity
Transitivity of Reducibility Georgia Tech Computability Complexity Theory Complexity
00:01:40

Transitivity of Reducibility Georgia Tech Computability Complexity Theory Complexity
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Algorithmic complexity is concerned about how fast or slow particular algorithm performs. We define complexity as a numerical function T(n) - time versus the input size n. We want to define time taken by an algorithm without depending on the implementation details.