TY - JOUR
ID - 101588
TI - The Fourth and Fifth Laplacian Coefficients of some Rooted Trees
JO - Mathematics Interdisciplinary Research
JA - MIR
LA - en
SN - 2538-3639
AU - Arabzadeh, Mahsa
AU - Fath-Tabar, Gholam-Hossein
AU - Rasoli, Hamid
AU - Tehranian, Abolfazl
AD - Department of Mathematics, Islamic Azad University, Science and Researcher Branch Tehran, I. R. Iran
AD - Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan,
Kashan, I. R. Iran
Y1 - 2019
PY - 2019
VL - 4
IS - 2
SP - 183
EP - 192
KW - Graph
KW - Eigenvalue
KW - Laplacian matrix
KW - Laplacian coefficient
DO - 10.22052/mir.2020.207378.1173
N2 - 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).
UR - https://mir.kashanu.ac.ir/article_101588.html
L1 - https://mir.kashanu.ac.ir/article_101588_f54ef31c99328589cc826b00c2bd8846.pdf
ER -