The Fourth and Fifth Laplacian Coefficients of some Rooted Trees

Abstract

Abstract. The Laplacian characteristic polynomial of an n-vertex graph G has the form f(G,x) = xn+∑lixn-i. In this paper, the fourth and fifth coefficient of f(G,x), will be investigated, where G is a T(k,t) tree in which a rooted tree with degree sequence k,k,...,k,1,1,...,1 is denoted by T(k,t).

Keywords

• graph
• eigenvalue
• laplacian matrix
• laplacian coefficient