The extremal values of some topological indices in bipartite graphs with a given matching number

Let I(G  ) be a topological index of a graph. If I(G+e)I(G),I(G+e)>I(G), respectively) for each edge e∉G,e∉G, then I(G) decreases (or increases, respectively) with addition of edges. In this paper, we determine the extremal values of some topological indices which decrease or increase with addition of edges, and characterize the corresponding extremal graphs in bipartite graphs with a given matching number.