Yaser Alizadeh - Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran
Zohre Molaee - Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran

Let G be a graph. G is called transmission irregular (shortly TI graph) graph if no tworow sum are the same in the distance matrix of G. A family of TI trees with three branchesare presented and extremal TI trees with respect to the Wiener index are determined.

Distance matrix, Wiener index, transmission irregular graph;