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On Sum--Connectivity Index of Bicyclic Graphs
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classification
math.CO
keywords
graphsbicyclicminimumsum--connectivityindexmaximumsecondvertices
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abstract
We determine the minimum sum--connectivity index of bicyclic graphs with $n$ vertices and matching number $m$, where $2\le m\le \lfloor\frac{n}{2}\rfloor$, the minimum and the second minimum, as well as the maximum and the second maximum sum--connectivity indices of bicyclic graphs with $n\ge 5$ vertices. The extremal graphs are characterized.
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