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Graphs:. Graphs are powerful data structures that represent relationships between entities..
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a. b. What is a Graph (G)?. A graph is a visual representation of relationships..
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Graph Terminology. Nodes. Represent entities or objects..
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Graph Types. Undirected Graphs. Relationships are bidirectional..
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Graph Types. Directed Graphs. Relationships flow in one direction..
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7. 5. 2. 3. 4. Graph Types. Weighted Graphs. Edges have associated values..
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Graph Representation Methods. Adjacency Matrix. Square matrix storing connections..
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Adjacency Matrix. O 1 1 O 1 1 O 1 O O 1 1 O 1 O O O 1 O 1 1 O O 1 O.
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Adjacency Matrix. a. c. d. e. b. 3. 4. 7. 5. 2. ♾️ 7 6 ♾️ 4 7 ♾️ 5 ♾️ ♾️ 6 5 ♾️ 2 ♾️ ♾️ ♾️ 2 ♾️ 3 4 ♾️ ♾️ 3 ♾️.
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Graph Representation Methods. Adjacency List. List of nodes and their neighbors..
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Adjacency List. a. c. d. e. b. a b c d e. b c e. a c.
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Adjacency List. b 7 c 6 e 4. a. c. d. e. b. 3. 4.
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To find if an edge exists. Adjacency Matrix. Adjacency List.
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- Small or Sparse. - Very big or Dence. Space Required.
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Traverse the Graph. Adjacency Matrix. Adjacency List.
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Exploring Graph Traversal. Depth-First Search (DFS).
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Graph Applications. [image] Image 0. Social Networks.
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[image] Image 0. Thank You!. Explore the Connections.