Which Nodes Are Reachable in a Walk of Length 4?

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SUMMARY

The discussion focuses on determining reachable nodes in a graph using walks of length 4. The problem is framed around starting from a specific node and utilizing two walks of length 2 to identify all reachable vertices. Key hints provided include the significance of the number 30 and the process of iteratively exploring reachable nodes. The conclusion emphasizes the importance of understanding graph traversal techniques to solve such problems effectively.

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  • Graph theory fundamentals
  • Understanding of vertex and edge concepts
  • Knowledge of graph traversal algorithms
  • Experience with mathematical induction in combinatorial contexts
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  • Study graph traversal algorithms such as Depth-First Search (DFS) and Breadth-First Search (BFS)
  • Explore the concept of walks in graph theory, specifically focusing on walk lengths
  • Learn about the properties of even and odd cycles in graphs
  • Investigate combinatorial techniques for counting reachable nodes in graphs
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Students of graph theory, computer scientists, and mathematicians interested in combinatorial problems and graph traversal techniques.

delc1
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Hi all

Could anyone help with this question. Any help is appreciated!

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Hint #1: 30 is an even number.

Hint #2: which vertices (nodes) can you reach in a walk of length 2? From those vertices (there are 3), which ones can be reached from them in another walk of length 2 (making a walk of length 4 from our start)?
 

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