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G-2024-27

Extremal chemical graphs for the arithmetic-geometric index

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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.

, 15 pages

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Extremal chemical graphs for the arithmetic-geometric index
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To appear in: MATCH Communications in Mathematical and in Computer Chemistry, 15 pages, 2024 BibTeX reference

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G2427.pdf (500 KB)