On Sum--Connectivity Index of Bicyclic Graphs

Details On Sum--Connectivity Index of Bicyclic Graphs On Sum--Connectivity Index of Bicyclic Graphs

2009-09-24

arxiv.org/abs/0909.4577v1

Bull. Malays. Math. Sci. Soc. 35 (2012) 101-117

Mathematics

Combinatorics

Scientific paper

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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