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Everything about Widest path problem

Path-finding using high-weight graph edges

In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight of the minimum-weight edge in the path. The widest path problem is also known as the maximum capacity path problem. It is possible to adapt most shortest path algorithms to compute widest paths, by modifying them to use the bottleneck distance instead of path length. However, in many cases even faster algorithms are possible. Wikipedia →

đź§­ Start here: a 6-step reading path

  1. Read the overview: Widest path problemA 5-minute orientation
  2. Pick up a classic book: Intelligence BulletinThe most-reprinted book on the subject
  3. Read the landmark paper: Two Algorithms for the k-Widest Path ProblemCited 0 times
  4. Go sideways: Minimum spanning treeA closely related topic
  5. Go sideways: Shortest path problemA closely related topic

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🗂️ The subject at a glance

  1. Undirected graphs
  2. Directed graphs
  3. Euclidean point sets

🏆 Landmark papers (most cited)

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

đź”— Related topics