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arXiv · 2107.10229

The Turán Number of the Triangular Pyramid of $3$-Layers

Debarun Ghosh·Ervin Győri·Addisu Paulos·Chuanqi Xiao·Oscar Zamora
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Abstract

The Turán number of a graph $H$, denoted by $\text{ex}(n, H)$, is the maximum number of edges in an $n$-vertex graph that does not have $H$ as a subgraph. Let $TP_k$ be the triangular pyramid of $k$-layers. In this paper, we determine that $\text{ex}(n,TP_3)= \frac{1}{4}n^2+n+o(n)$ and pose a conjecture for $\text{ex}(n,TP_4)$.

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Debarun Ghosh, Ervin Győri, Addisu Paulos, Chuanqi Xiao, Oscar Zamora. 2021-07-21. The Turán Number of the Triangular Pyramid of $3$-Layers. https://arxiv.org/abs/2107.10229

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