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arXiv · 2403.05226

Extremal Chemical Graphs for the Arithmetic-Geometric Index

Alain Hertz·Sébastien Bonte·Gauvain Devillez·Valentin Dusollier·Hadrien Mélot·David Schindl
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Abstract

The arithmetic-geometric index is a newly proposed degree-based graph invariant in mathematical chemistry. We give a sharp upper bound on the value of this invariant for connected chemical graphs of given order and size and characterize the connected chemical graphs that reach the bound. We also prove that the removal of the constraint that extremal chemical graphs must be connected does not allow to increase the upper bound.

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Alain Hertz, Sébastien Bonte, Gauvain Devillez, Valentin Dusollier, Hadrien Mélot, David Schindl. 2024-03-08. Extremal Chemical Graphs for the Arithmetic-Geometric Index. https://arxiv.org/abs/2403.05226

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