Abstract
. A topological index (TI) is a function from P to the set of real
numbers, where P is the set of finite simple graphs. In fact, it is a final
outcome of a logical, systematical and mathematical process that transforms feature encoded in a molecular graph to a fixed real number. Gutman and Trinajstic (1972) first time defined degree based TI named as first
Zagreb index to compute the total π-electron energy of a molecular graph.
They also exposed another TI that is renamed as modified first Zagreb
connection index in [Ali and T rinajstic, Mol. Inform. 37(2018),
1 − 7]. In this paper, we compute the upper bounds for the Zagreb connection indices i.e. first Zagreb connection index, second Zagreb connection index and modified first Zagreb connection index of the resultant
graphs which are obtained by applying the tensor and strong product of
two graphs.
Usman Ali, M. Javaid. (2020) Upper Bounds of Zagreb Connection Indices of Tensor and Strong Product on Graphs, Punjab University Journal of Mathematics, Volume 52 , Issue No.4.
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