Eccentric Sequences of Two Infinite Classes of Fullerenes

Abstract

The eccentricity sequence of G, denoted by e G , is the set of all e v i . In this paper, the eccentricity sequences of two infinite classes of fullerenes are computed. As a consequence, the eccentric connectivity indices of these fullerenes are computed.

Topological Efficiency of Fullerene

“…These orbits are: (A) [1,19,21,40], (B) [2,3,38,27,8,32,24,18,20,39,35,13], (C) [4,16,26,5,29,17,6,10,22,14,25,36,15,28,7,11,23,33,30,9,31,12,34, 37], (D) [1, 6, 2, 48, 15, 10, 5, 31, 53, 26, 49, 11, 7, 3, 40, 35, 44, 43, 20, 47, 52, 30, 14, 9, 4, 23, [181,197,191,187,221,184,200,186,196,215,225,229,193,218,199,228,195,…”

“…Graver 10 presented the catalog of all fullerenes with ten or more symmetries. Some of the present authors [11][12][13][14] computed the symmetries and some distance based topological indices of eight infinite series of fullerenes. In this section, two sequences A n and B n of non-IPR fullerenes with exactly 12 + 24n and 8 + 12n carbon atoms, respectively, are considered into account.…”

Comparing Fullerenes by Spectral Moments

“…In Ref. [14], the authors continued the pioneering work of Cvetković and Rowlinson to compute the last d + d/2 − 2 in the S-order, among all unicyclic graphs of order n and diameter d. We encourage the interested readers to consult [15][16][17][18] for more information on this topic and [19][20][21][22][23][24] for some infinite classes of fullerenes.…”

A Lower Bound for Graph Energy of Fullerenes

“…We encourage the interested readers to consult the famous book (Fowler and Manolopoulos 2006) for the mathematical properties of this important class of molecular graphs and (Djafari et al 2013;KoorepazanMoftakhar et al 2014) for more information on this topic.…”