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arXiv · 1811.03747

Inducibility of directed paths

Ilkyoo Choi·Bernard Lidický·Florian Pfender
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Abstract

A long standing open problem in extremal graph theory is to describe all graphs that maximize the number of induced copies of a path on four vertices. The character of the problem changes in the setting of oriented graphs, and becomes more tractable. Here we resolve this problem in the setting of oriented graphs without transitive triangles.

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Ilkyoo Choi, Bernard Lidický, Florian Pfender. 2020-06-11. Inducibility of directed paths. https://doi.org/10.1016/j.disc.2020.112015

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