Eccentricity Sums in Trees

Heather Smith, László Székely, Hua Wang

The eccentricity of a vertex, $ec{c}_T(v)={\max }_{u\in T}{d}_T(v,u)$, was one of the first, distance-based, tree invariants studied. The total eccentricity of a tree, $Ecc(T)$, is the…