Deleting to Structured Trees

Pratyush Dayal; Neeldhara Misra

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arXiv · 1912.12765

Deleting to Structured Trees

Pratyush Dayal·Neeldhara Misra

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Abstract

We consider a natural variant of the well-known Feedback Vertex Set problem, namely the problem of deleting a small subset of vertices or edges to a full binary tree. This version of the problem is motivated by real-world scenarios that are best modeled by full binary trees. We establish that both versions of the problem are NP-hard, which stands in contrast to the fact that deleting edges to obtain a forest or a tree is equivalent to the problem of finding a minimum cost spanning tree, which can be solved in polynomial time. We also establish that both problems are FPT by the standard parameter.

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Pratyush Dayal, Neeldhara Misra. 2019-12-30. Deleting to Structured Trees. https://arxiv.org/abs/1912.12765

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