Extremal graphs for vertex-degree-based invariants with given degree sequences

Muhuo Liu, Kexiang Xu, Xiao-Dong Zhang

For a symmetric bivariable function $f(x,y)$, let the {\it connectivity function} of a connected graph $G$ be $M_f(G)={\sum }_{uv\in E(G)}f(d(u),d(v))$, where $d(u)$ is the degree of…