Determination of double quasi-star tree from its Laplacian spectrum

Let H n (p, q) be a tree obtained from two stars K 1,p and K 1,q by identifying the center of K 1,p with one end of a path P n and the center of K 1,q with the other end of P n . We call H n (p, p−1) a double quasi-star tree. In this paper, we show that a double quasi-star tree is determined by its Laplacian spectrum.