Abstract:The paper is concerned with the Sombor index (SO) of Kragujevac trees (Kg). A slightly more general definition of Kg is offered. SO is a recently introduced degree-based topological index. A general combinatorial expression for SO(Kg) is established. The species with minimum and maximum SO(Kg)-values are determined.
In this paper, we introduce the modified domination Sombor index and its corresponding exponential of a graph. Also we introduce the domination Sombor exponential of a graph. We compute the modified domination Sombor index and its corresponding exponential for some standard graphs, French windmill graphs, friendship graphs and book graphs. Furthermore, we establish some properties of the domination Sombor index
In this paper, we introduce the modified domination Sombor index and its corresponding exponential of a graph. Also we introduce the domination Sombor exponential of a graph. We compute the modified domination Sombor index and its corresponding exponential for some standard graphs, French windmill graphs, friendship graphs and book graphs. Furthermore, we establish some properties of the domination Sombor index
In this paper, we introduce the multiplicative modified Revan Sombor index of a graph. Also we compute the multiplicative Revan Sombor index, multiplicative modified Revan Sombor index of triangular benzenoids, benzenoid rhombus, benzenoid hourglass and benzenoid systems.
The operations of graphs spread their wings in designing complex net- work structures in various engineering domains. Graph indices, popularly termed topological indices are computed on the basis of distance or degree. The boundless part of graph indices has its foot print in network centrality and the robustness of complex networks. The goal of this paper is to provide a complete expression for the Sombor index of edge corona product of few classes of graphs.
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