Recently introduced bosonic quasi-particle 'bondon' is shown in this Letter to account for the emergence of long-range interaction in one-dimensional graphenic nanoribbons opening the door to possible phase-transitions effect. Current simulations also benefit from adopting pure topological potential ( used as potential energy in the statistical treatment) that greatly simplify, as usual, the computational tasks without sacrificing the physical information stored in the connectivity of the chemical structures. (C) 2012 Elsevier B. V. All rights reserved.