ORDERING UNICYCLIC GRAPHS WITH RESPECT TO ZAGREB INDICES

For a graph, the first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. This paper investigates the Zagreb indices of unicyclic graphs by introducing some transformations, and characterize the unicyclic graphs with the first five largest Zagreb indices and the unicyclic graphs with the first two smallest Zagreb indices, respectively.