A comprehensive book series which encompasses the complete coverage of carbon materials and carbon-rich molecules from elemental carbon dust in the interstellar medium, to the most specialized industrial applications of the elemental carbon and derivatives. A great emphasis is placed on the most advanced and promising applications ranging from electronics… (More)
Stone-Wales operators interchange four adjacent hexagons with two pentagon-heptagon 5|7 pairs that, graphically, may be iteratively propagated in the graphene layer, originating a new interesting structural defect called here Stone-Wales wave. By minimization, the Wiener index topological invariant evidences a marked anisotropy of the Stone-Wales defects… (More)
Matching polynomial and its zeros for the molecular graph of C70 are reported. Topological resonance energy (TRE) is calculated and compared with that reported for C60, and with the values obtained by conjugated circuits model. TRE values indicate slightly greater stability of C70, in agreement with recent experimental results.
The Wiener polarity index Wp(G) of a graph G of order n is the number of unordered pairs of vertices u and v of G such that the distance d G (u, v) between u and v is 3. In this paper the Wiener polarity index of some graph operations are computed. As an application of our results, the Wiener polarity index of a polybuckyball fullerene and C 4 nanotubes and… (More)
Artificial neural systems and nervous graph theoretical analysis rely upon the stance that the neural code is endowed in logic circuits, e.g., spatio-temporal sequences of ON/OFF spiking neurons. Nevertheless, this assumption does not fully explain complex brain functions. Here we show how nervous activity, other than logic circuits, could instead depend on… (More)
This work advances the modeling of bondonic effects on graphenic and honeycomb structures, with an original two-fold generalization: (i) by employing the fourth order path integral bondonic formalism in considering the high order derivatives of the Wiener topological potential of those 1D systems; and (ii) by modeling a class of honeycomb defective… (More)