%0 Journal Article
%T The Schultz and the Modified Schultz Indices of Kragujevac Trees
%J Global Analysis and Discrete Mathematics
%I Damghan University
%Z 2476-5341
%A Heydari, Abbas
%D 2021
%\ 08/01/2021
%V 6
%N 1
%P 99-108
%! The Schultz and the Modified Schultz Indices of Kragujevac Trees
%K Schultz index
%K Modified Schultz index
%K Kragujevac tree
%R 10.22128/gadm.2021.408.1045
%X 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.
%U https://gadm.du.ac.ir/article_208_8b96e66b3e98da5c42f3b3eb39c07ff1.pdf