NAJMA SHABIRFA19-RMT-039LHR TP 7420Dr. Sarfraz Ahmad2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2850A bond-additive topological invariant, known as the Mostar index, has been described as a measure of peripherality in networks and graphs. Later on, other index variations were created, including the edge Mostar index and the total Mostar index. Some experiments are done using vertex-Mostar index on boron nanotubes and polyomino chains but attained results are not good. Therefore, we show how a variation of the cut method described by Klavar, Gutman, and Mohar may be used to efficiently compute it for Honeycomb network H(m;n). We compute the vertex-Mostar index of Honeycomb network H(m;n). Moreover, We’ve also included results related the vertex-Mostar index of Honeycomb network H(m;n).enDr. Sarfraz AhmadFa19Department of MathematicsMathematicsThesis