%0 Journal Article %T Algebraic connectivity of connected graphs with fixed number of pendant vertices %A Arbind K. Lal %A Kamal L. Patra %A Binod K. Sahoo %J Mathematics %D 2010 %I arXiv %X In this paper we consider the following problem: Over the class of all simple connected graphs of order $n$ with $k$ pendant vertices ($n,k$ being fixed), which graph maximizes (respectively, minimizes) the algebraic connectivity? We also discuss the algebraic connectivity of unicyclic graphs. %U http://arxiv.org/abs/1003.4646v1