Extremal Chemical Graphs for the Arithmetic-Geometric Index

Extremal Chemical Graphs for the Arithmetic-Geometric Index

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 pro...

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Veröffentlicht in:arXiv.org 2024-03
Hauptverfasser: Hertz, Alain, Bonte, Sébastien, Gauvain Devillez, Dusollier, Valentin, Mélot, Hadrien, Schindl, David
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic
Graphs
Invariants
Upper bounds
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Zusammenfassung: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.
ISSN:2331-8422