Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42220160401The augmented Zagreb index, vertex connectivity and matching number of graphs417425768ENA.AliDepartment of Mathematics, National University of Computer and
Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan.A.BhattiDepartment of Mathematics, National University of Computer and
Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan.Z.RazaDepartment of Mathematics, National University of Computer
and Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan.and Department of Mathematics, College of Sciences, University
of Sharjah, Sharjah, United Arab Emirates.Journal Article20140322Let $\Gamma_{n,\kappa}$ be the class of all graphs with $n\geq3$ vertices and $\kappa\geq2$ vertex connectivity. Denote by $\Upsilon_{n,\beta}$ the family of all connected graphs with $n\geq4$ vertices and matching number $\beta$ where $2\leq\beta\leq\lfloor\frac{n}{2}\rfloor$. In the classes of graphs $\Gamma_{n,\kappa}$ and $\Upsilon_{n,\beta}$, the elements having maximum augmented Zagreb index are determined.http://bims.iranjournals.ir/article_768_9ad3a73dc4b8f0abc057b82d03ab8eca.pdf