ABC Index

The ABC (atom-bond connectivity) index of a graph is defined as half the sum of the matrix elements of its ABC matrix. It was introduced by Estrada et al. (2017) to model the enthalpy of formation of alkanes (Zheng et al. 2023).

See also

ABC Matrix

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Estrada, E. "The ABC Matrix." J. Math. Chem. 55, 1021-1033, 2017.Zheng, R.; Su, P.; and Jin. S. "Arithmetic-Geometric Matrix of Graphs and Its Applications." Appl. Math. Comput. 42, 127764, 1-11, 2023.

Cite this as:

Weisstein, Eric W. "ABC Index." From MathWorld--A Wolfram Web Resource.

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