List of Articles graph transformations

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  1 - BICYCLIC GRAPHS WITH MINIMUM AND MAXIMUM FORGOTTEN AND INVERSE DEGREE INDICES
  mohammad ali manian Shahram Heidarian ّFarhad Khaksar Haghani
  In chemical graph theory, the forgotten index and inverse degree index of a connected simple graph G are defined as F(G) = ∑ 〖d_u^2+d_v^2 〗and ID(G) = ∑1/d_u respectively, where d_u represents the degree of vertex u in G. In this paper, we use some graph transformati More

  In chemical graph theory, the forgotten index and inverse degree index of a connected simple graph G are defined as F(G) = ∑ 〖d_u^2+d_v^2 〗and ID(G) = ∑1/d_u respectively, where d_u represents the degree of vertex u in G. In this paper, we use some graph transformations and determine the minimum and the maximum values of the forgotten index and the inverse degree index on the class of bicyclic graphs. In addition, we characterize their corresponding extremal graphs. Manuscript profile