Leavitt path algebras of weighted Cayley graphs Cn(S, w)

For a postive integer n and a subset S of Z(n), let < S > = Z(n), and w : S -> N be a function. The weighted Cayley graph of the cyclic group Z(n) with respect to S and w is denoted by C-n(S, w). We give an explicit description of the Grothendieck group of the Leavitt path algebras of C-n(S, w). We also give description of Leavitt path algebras of C-n(S, w) in some special cases.