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The Narumi-Katayama index ( ) NK G and first multiplicative Zagreb index ( ) 1 G ∏ of a graph G are defined as the product of the degrees of the vertices of G and the product of square of the degrees of the vertices of G , respectively. The second multiplicative Zagreb index is defined as ( ) ( ) ( ) ( ) 2 = uv E G G d u d v ∈ ∏ ∏ . In this paper, we compute the extremal ( ) NK G , ( ) 1 G ∏ and ( ) 2 G ∏ for the graphs with given order, number of pendant vertices and cyclomatic number.

Extremal Degree-Product Indices of Graphs with Fixed Number of Pendant Vertices and Cyclomatic Number