University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 3 1 2012 02 01 Centric Connectivity Index by Shell Matrices 35 43 5200 10.22052/ijmc.2012.5200 EN M. V. Diudea Babes-Bolyai University Journal Article 2012 01 10 Relative centricity RC values of vertices/atoms are calculated within the Distance Detour and Cluj-Distance criteria on their corresponding Shell transforms. The vertex RC distribution in a molecular graph gives 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 the topological characterization of graphs and in QSAR/QSPR studies.