TY - JOUR
ID - 208
TI - The Schultz and the Modified Schultz Indices of Kragujevac Trees
JO - Global Analysis and Discrete Mathematics
JA - GADM
LA - en
SN - 2476-5341
AU - Heydari, Abbas
AD - Arak Uinversity of Technology, Arak, Iran.
Y1 - 2021
PY - 2021
VL - 6
IS - 1
SP - 99
EP - 108
KW - Schultz index
KW - Modified Schultz index
KW - Kragujevac tree
DO - 10.22128/gadm.2021.408.1045
N2 - Let G be simple connected graph with the vertex and edge sets V(G) and E(G), respectively. The Schultz and Modified Schultz indices of a connected graph G are defined as Sc(G) =1/2 ∑u,v∈V(G) (du + dv)d(u,v) and Sc*(G) = 1\2∑u,v∈ V(du×dv)d(u, v), where d(u, v) is the topological distance between vertices u and v, dv is the degree of vertex v of G. In this paper, computation of the Schultz and Modified Schultz indices of the Kragujevac trees is proposed. As application, we obtain an upper bound and a lower bound for the Schultz and the modified Schultz indices of this tree.
UR - https://gadm.du.ac.ir/article_208.html
L1 - https://gadm.du.ac.ir/article_208_8b96e66b3e98da5c42f3b3eb39c07ff1.pdf
ER -