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On a conjecture about the Randi? index
Authors:Mustapha Aouchiche
Institution:a Ecole Polytechnique de Montréal, 2500, chemin de Polytechnique, Montréal, Canada
b GERAD and HEC Montréal, 3000 chemin de la Cote-Sainte-Catherine, Montréal, Canada
Abstract:A conjecture of Delorme, Favaron and Rautenbach On the Randi? index, Discrete Math. 257 (2002) 29-38] about the Randi? index of a graph, in relation to its order and minimum degree, is refuted by the AutoGraphiX 2 system. Moreover, a modified conjecture is derived from presumably extremal graphs obtained with that system.
Keywords:05C35
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