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arXiv · 1912.01570

Jones' Conjecture in subcubic graphs

Marthe Bonamy·François Dross·Tomáš Masařík·Wojciech Nadara·Marcin Pilipczuk·Michał Pilipczuk
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Abstract

We confirm Jones' Conjecture for subcubic graphs. Namely, if a subcubic planar graph does not contain $k+1$ vertex-disjoint cycles, then it suffices to delete $2k$ vertices to obtain a forest.

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Marthe Bonamy, François Dross, Tomáš Masařík, Wojciech Nadara, Marcin Pilipczuk, Michał Pilipczuk. 2019-12-03. Jones' Conjecture in subcubic graphs. https://doi.org/10.37236/9192

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