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arXiv · 1805.04375

On the Parameterized Complexity of Graph Modification to First-Order Logic Properties

Fedor V. Fomin·Petr A. Golovach·Dimitrios M. Thilikos
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Abstract

We consider the problems of deciding whether an input graph can be modified by removing/adding at most k vertices/edges such that the result of the modification satisfies some property definable in first-order logic. We establish a number of sufficient and necessary conditions on the quantification pattern of the first-order formula \phi for the problem to be fixed-parameter tractable or to admit a polynomial kernel.

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Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thilikos. 2018-05-11. On the Parameterized Complexity of Graph Modification to First-Order Logic Properties. https://arxiv.org/abs/1805.04375

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