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Max Independent Set Remains NP-hard when Excluding a Planar Induced Minor

Édouard Bonnet, Yeonsu Chang

Source record

Source: arXiv

Published: Sep 10, 2026

arXiv: 2609.11285

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Source abstract

We show that there is a fixed planar graph HH, namely the 5×55 \times 5 grid, such that Max Independent Set remains NP-hard in HH-induced-minor-free graphs. This refutes the Dallard--Milanič--Štorgel conjecture and a weakening of it by Gartland and Lokshtanov, and by Korhonen.

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Max Independent Set Remains NP-hard when Excluding a Planar Induced Minor — Mathematical Frontier Network