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ABSTRACT:
There exist graphs of which all detours are Hamiltonian paths. Such graphs are called by Diudea (J. Chem. Inf. Comput. Sci. 1997, 37, 1101-1108) full Hamiltonian detour FH? graphs. These graphs show the maximal value of the Detour index while the minimal value of the Cluj-Detour index. A selected set of cubic graphs on 16 vertices is tested for the distribution of the relative centrality RC values, within the Distance, Cluj-Distance and Ring account criteria. The RC distribution test is general and can be used in finding the vertex invariant classes and in the characterization of graphs.
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STATISTICS
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