On the relationship between shortlex order and $A_{\alpha }$-spectral radii of graphs with starlike branch tree

Haiying Shan, Muhuo Liu

Let $P(n)$ denote the set of all partitions of $n$, whose elements are nondecreasing sequences of positive integers whose sum is $n$. For ${\bf a}=( n_{1}, n_{2},\ldots, n_{d}) \in…