on some extremal results and bounds of additively weighted edge mostar index

‎the additively weighted edge mostar index is a topological index(ti) defined as an extension of the edge mostar index‎. ‎in this paper‎, ‎we determine the extrema of the additively weighted edge mostar index for trees‎. ‎additionally‎, ‎we compute the lower bound and first four upper bounds of additively weighted edge mostar index of unicyclic graphs and the upper bound for cacti with a fixed number of cycles‎. ‎all the graphs attaining the bounds are characterized‎. ‎we also propose two conjectures on additively weighted edge mostar index of bicyclic graphs‎.