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Relative centricity RC values of vertices/atoms are calculated within the Distance and Cluj-Distance criteria. The vertex RC distribution in a molecular graph provides atom equivalence classes, useful in interpretation of NMR spectra. Timed by vertex valences, RC provides a new index, called Centric Connectivity CC, which can be useful in topological characterization of graphs and in QSAR/QSPR studies.

Keywords: graph theory, Cluj index, relative centricity, centric connectivity index