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).
ABC Index
See also
ABC MatrixExplore with Wolfram|Alpha
References
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. https://mathworld.wolfram.com/ABCIndex.html