
Summary: The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays significant attention in chemical graph theory. In this paper, an inequality between the ABS index of a graph and its line graph is established. As a consequence of the obtained inequality, the unique graph with the minimum ABS index among all line graphs of unicyclic graphs of fixed order is determined.
line graph, Extremal problems in graph theory, atom-bond sum-connectivity index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), extremal graph, Graph operations (line graphs, products, etc.), QA1-939, Vertex degrees, Mathematics
line graph, Extremal problems in graph theory, atom-bond sum-connectivity index, Graphical indices (Wiener index, Zagreb index, Randić index, etc.), extremal graph, Graph operations (line graphs, products, etc.), QA1-939, Vertex degrees, Mathematics
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