2 papers
math.CO2026
A general formula for walk determinants of rooted products with applications to DGS-graph constructions
Wei Wang, Jie Shen, Lihuan Mao
For an -vertex graph , and a rooted graph with as the root, the rooted product graph is obtained from and copies of by identifying…
math.CO2025
On the determinant of the walk matrix of the rooted product with a path
Zhidan Yan, Wei Wang
For an -vertex graph , the walk matrix of , denoted by , is the matrix , where is the adjacency matrix of and is the a…