Ordering Unicyclic Graphs with a Fixed Girth by p-Sombor Indices
DOI:
https://doi.org/10.24297/jam.v24i.9714Keywords:
Unicyclic graph, p-Sombor indexAbstract
The p-Sombor index of a graphs G is deffned as, SOp(G) = X xy∈E(G) (d p (x) + d p (y)) 1 p , where d(x) represents the degree of vertex x in graph G. Our focus centers on exploring the p-Sombor index of unicyclic graphs, speciffcally addressing graphs with a predetermined girth. We determine the ffrst four smallest p-Sombor index and identifying the corresponding graphs that achieve these extremes.
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