Note on the temperature Sombor index
Abstract
Introduction/purpose: The temperature of a vertex of a graph of the order n is defined as d/(n-d), where d is the vertex degree. The temperature variant of the Sombor index is investigated and several of its properties established.
Methods: Combinatorial graph theory is applied.
Results: Extremal values and bounds for the temperature Sombor index are obtained.
Conclusion: The paper contributes to the theory of Sombor-index-like graph invariants.
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