Extremal spectral radius of degree-based weighted adjacency matrices of graphs with given order and size

Chenghao Shen, Haiying Shan

The $f$ adjacency matrix is a type of edge-weighted adjacency matrix, whose weight of an edge $ij$ is $f(d_i,d_j)$, where $f$ is a real symmetric function and $d_i,d_j$ are the deg…