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Milan Randić, Marjana Novič, Marjan Vračko and Dejan Plavšić On the centrality of vertices of molecular graphs Journal of Computational Chemistry 34

Article first published online: 19 AUG 2013 | DOI: 10.1002/jcc.23413

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The common vertex matrix of graphs, which was recently introduced, is further explored. Analysis offers novel characterization of the central vertex or vertices in acyclic and cyclic graphs. The centricity values are constructed for all vertices in acyclic and cyclic graphs. A selection of graphs is examined, and nonisomorphic graphs are found with vertices that have a 1:1 correspondence between their centricities.

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