Planar and Outerplanar Spectral Extremal Problems based on Paths

Xilong Yin, Dan Li, Jixiang Meng

Let SPEX${}_{\mathcal{P}}(n,F)$ and SPEX${}_{\mathcal{O}\mathcal{P}}(n,F)$ denote the sets of graphs with the maximum spectral radius over all $n$-vertex $F$-free planar and outerplanar graphs, resp…