The Narumi-Katayama index and first multiplicative Zagreb index of a graph are defined as the product of the degrees of the vertices of and the product of square of the degrees of the vertices of , respectively. The second multiplicative Zagreb index is defined as . In this paper, we compute the extremal , and for the graphs with given order, number of pendant vertices and cyclomatic number.
International Letters of Chemistry, Physics and Astronomy (Volume 59)
M.K. Jamil et al., "Extremal Degree-Product Indices of Graphs with Fixed Number of Pendant Vertices and Cyclomatic Number", International Letters of Chemistry, Physics and Astronomy, Vol. 59, pp. 53-61, 2015