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.
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Heydari, A. (2021). The Schultz and the Modified Schultz Indices of Kragujevac Trees. Analytical and Numerical Solutions for Nonlinear Equations, 6(1), 99-108. doi: 10.22128/gadm.2021.408.1045
MLA
Abbas Heydari. "The Schultz and the Modified Schultz Indices of Kragujevac Trees", Analytical and Numerical Solutions for Nonlinear Equations, 6, 1, 2021, 99-108. doi: 10.22128/gadm.2021.408.1045
HARVARD
Heydari, A. (2021). 'The Schultz and the Modified Schultz Indices of Kragujevac Trees', Analytical and Numerical Solutions for Nonlinear Equations, 6(1), pp. 99-108. doi: 10.22128/gadm.2021.408.1045
VANCOUVER
Heydari, A. The Schultz and the Modified Schultz Indices of Kragujevac Trees. Analytical and Numerical Solutions for Nonlinear Equations, 2021; 6(1): 99-108. doi: 10.22128/gadm.2021.408.1045