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Paper detail

On Sum--Connectivity Index of Bicyclic Graphs

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.

preprint2009arXivOpen access
Zhibin DuBo Zhou
math.CO
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Zhibin DuBo Zhou

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