Groupe d’études et de recherche en analyse des décisions

G-2013-24

Refutations, Results and Conjectures about the Balaban Index

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In the present paper, we are interested in studying mathematical properties of the Balaban index of connected graphs. We present a discussion on and refutations of some "known results". We prove some new bounds on the Balaban index over given classes of graphs and finally we list a series of conjectures.

, 15 pages