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Gutman proposed a topological index called the Sombor index, which was defined as Formula: see text where Formula: see text is the degree of the vertex Formula: see text in graph Formula: see text. In this paper, we determine the second-minimum and second-maximum values of the Sombor index over all the unicyclic graphs of order Formula: see text and bicyclic graphs of order Formula: see text.
Tan et al. (Tue,) studied this question.
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