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Self-Deleting Graphs: Traversal-Dependent Complexity

Updated 6 July 2026
  • Self-deleting graphs are dynamic models defined by a deletion function that permanently removes specified edges when a vertex is visited.
  • They present significant computational challenges for s‑t path problems, exhibiting NP-hardness and W[1]-completeness even under tight structural restrictions.
  • Algorithmic research has developed FPT approaches using combined parameters like path length and deletion arity, while also exploring kernelization limits on various graph classes.

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