Author/Authors :
Arabzadeh, Mahsa Department of Mathematics - Islamic Azad University - Science and Researcher Branch Tehran , Fath-Tabar, Gholam-Hossein Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Kashan , Rasoli, Hamid Department of Mathematics - Islamic Azad University - Science and Researcher Branch Tehran , Tehranian, Abolfazl Department of Mathematics - Islamic Azad University - Science and Researcher Branch Tehran
Abstract :
The Laplacian c n−haracteristic1 polynomial of an n-vertex graph G has the form f(G, x) = xn + lixn−i. In this paper, the fourth and fifth Lapla-
i=1
cian coeÿcients of f(T (k, t), x) will be computed, where T (k, t) is a rooted tree with degree sequence k, k, . . . , k, 1, 1, . . . , 1.
Keywords :
Graph , eigenvalue , Laplacian coeÿcient , rooted tree
