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Edge-disjoint paths

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Graph theory Path in a graph
Created 2026-10-06 Updated 2026-10-07  0 By others on same topic  0 Discussions Create my own version
Paths are edge-disjoint when no graph edge occurs in two of them. They may share internal vertices. If r edge-disjoint client-to-server paths exist, fewer than r failed links cannot destroy them all. For simultaneous link and node failures one instead needs internally vertex-disjoint paths, since one shared internal node could destroy several edge-disjoint paths at once.

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  • Past exam of the mathematics course of the University of Cambridge / 2014 / iii / Paper 37 / 3 / c / Solution
  • Past exam of the year 1 of the computer science course of the University of Oxford / 2019 / Discrete mathematics, continuous mathematics, and probability / 7 / c / i / Solution
  • Random cuts of a cycle

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