Extremal graphs maximizing the hyper-Zagreb index are characterized under fixed vertex/edge-connectivity, number of leaves, chromatic number, and independence number, with QSPR studies on chemical relevance.
Albertson, The irregularity of a graph,Ars Combin.46(1997) 219–225
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Resolving Open Problems on the Hyper-Zagreb Index and its Chemical Applications
Extremal graphs maximizing the hyper-Zagreb index are characterized under fixed vertex/edge-connectivity, number of leaves, chromatic number, and independence number, with QSPR studies on chemical relevance.