Abstract
Catlin et al. [1, Corollary 9A] characterised the graphs G with the property that ham( G) > rad( G) + 1 where ham( G) and rad( G) stand for the hamiltonian index and the radius of G, respectively. Here a slightly stronger result is presented. In effect, the graphs for which ham( G) > rad( G) holds are characterised in a similar way.
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