Let \%S\-\{n\}\% be the symmetric group. Let \%n\% equal \%{1

2

\:

n}

B\+\{*\}\% denote the set of all transpositions for \%S\-\{n\}\% and let \%B\% be any sabset of \%B\+*\%. The transposition graph \%W\-\{n\}\% with respect to \%B\% is defined by taking \%n\% as \%V\%set and \%{\:(uv)∈B}\% as lateral set. A transposition graph is called a transposition tree \%T\-\{n\}\% if \%W\-\{n\}\% is a tree. \%T\-\{n\}\% is a minimal generating set of \%S\-\{n\}\%. In this paper

we study the properties of the Cayley graph Cay\%(S\-n

T\-n)\%. Prove that this model is a nice model.