The Maximum Number of Paths of Length Three in a Planar Graph

30 Sep 2019 Győri Ervin Paulos Addisu Salia Nika Tompkins Casey Zamora Oscar

Let $f(n,H)$ denote the maximum number of copies of $H$ possible in an $n$-vertex planar graph. The function $f(n,H)$ has been determined when $H$ is a cycle of length $3$ or $4$ by Hakimi and Schmeichel and when $H$ is a complete bipartite graph with smaller part of size 1 or 2 by Alon and Caro... (read more)

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