Extremal Graphs with respect to the Modified First Zagreb Connection Index
Abstract
Topological indices (TIs) have an important role in studying properties of molecules. A main problem in mathematical chemistry is finding extreme graphs with respect to a given TI. In this paper extremal graphs with respect to the modified first Zagreb connection index for trees, unicyclic graphs with or without a fixed girth and connected graphs are determined. These graphs are relevant since they are chemical graphs.
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