The Energy and Operations of Graphs

Ma, Haicheng; Liu, Xiaohua

doi:10.4236/apm.2017.76021

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2024

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“…Few networks are discussed in [16], [13], [12], [42], [29], [15], [23]. Ma et al studied the energy and operations of graphs [28]. Randic also calculated the benzenoid rings resonance energies and local aromaticity of benzenoid hydrocarbons [31].…”

Section: Introductionmentioning

confidence: 99%

Graphical Invariants for some Transformed Networks

Ali,

Khalifa,

Iqbal

et al. 2024

Eur. J. Pure Appl. Math.

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A topological index is a numerical character associated with a graph that is invariant under graph isomorphism and describe the graphs topology. There are several graph operations that may be used to change it into a new structure, such as constructing a stellation, bounded dual, complement, subdivided, line graph, minor, dual, and medial. In this paper, we construct transformed networks from the concealled non-kekulean benzenoid hydrocarbon structure by applying stellation and bounded dual operations, further we study their degree based topological properties by appropriately labeling the graph. Degree based topological indices are playing significant role among other types of indices in chemical, pharmaceutical and bio-informatics industry, since they correlate the structure with its physicochemical properties.

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