%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