Center, centroid and subtree core of trees

Dheer Noal Sunil Desai, Kamal Lochan Patra

For $n\ge 5$ and $2\le g\le n-3,$ consider the tree $P_{n-g,g}$ on $n$ vertices which is obtained by adding $g$ pendant vertices to one degree $1$ vertex of the path $P_{n-g}$.…