Planar Turán number of double star $ S_{3, 4} $

• DOI: 10.3934/math.2025075
• Publication Date: 2025-01-24T00:45:43Z
• Authors: Xin Xu; Xu Zhang; Jiawei Shao
• Keywords: Star (game theory)

<p>Planar Turán number, denoted by $ \mathrm{ex}_{\mathcal{P}}(n, H) $, is the maximum number of edges in an n $-vertex planar graph which does not contain H as a subgraph. Ghosh, Győri, Paulos and Xiao initiated topic for double stars. There were two stars S_{3, 4} 5} that remained unknown. In this paper, we give exact value 4}) $.</p>