The Fourth and Fifth Laplacian Coefficients of some Rooted Trees

نویسندگان
Arabzadeh, Mahsa ID 1
Rasoli, Hamid ID 2
Tehranian, Abolfazl ID 3
Fath-Tabar, Gholam-Hossein ID 4

1 Department of Mathematics, Islamic Azad University, Science and Researcher Branch Tehran, I. R. Iran

2 Department of Mathematics, Islamic Azad University, Science and Researcher Branch Tehran, I. R. Iran

3 Department of Mathematics, Islamic Azad University, Science and Researcher Branch Tehran, I. R. Iran

4 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I. R. Iran

doi
10.22052/mir.2020.207378.1173
چکیده

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).

کلیدواژه‌ها
Graph, Eigenvalue, Laplacian matrix, Laplacian coefficient