Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Ashrafi, Ali Reza
AU - Loghman, Amir
TI - Padmakar-Ivan Index of TUC4C8(S) Nanotubes
JO - Journal of Computational and Theoretical Nanoscience
PY - 2006-06-01T00:00:00///
VL - 3
IS - 3
SP - 378
EP - 381
KW - PI INDEX
KW - TUC4C8(S) NANOTUBE
N2 - A C_{4}C_{8} net is a trivalent decoration made by alternating squares C_{4} and octagons C_{8}. Such a covering can be derived from square net by the leapfrog operation. Stefu and Diudea recently computed the Wiener index of such nanotubes (see Monica
Stefu and Mircea V. Diudea, *MATCH—Commun. Math. Comput. Chem*. 50, 133 (2004).). The Padmakar-Ivan (PI) index of a graph *G* is defined as PI(*G*) = Σ[*n*
_{
eu
} (*e*|*G*) + *n*
_{
ev
} (*e*|*G*)], where *n*
_{
eu
}
(*e*|*G*) is the number of edges of *G* lying closer to *u* than to *v*, *n*
_{ev} (e|G) is the number of edges of *G* lying closer to *v* than to *u* and summation goes over all edges of *G*. This topological Index is developed very
recently. In this paper, an exact expression for PI index of the TUC_{4}C_{8}(S) nanotubes is given.
UR - http://www.ingentaconnect.com/content/asp/jctn/2006/00000003/00000003/art00005
M3 - doi:10.1166/jctn.2006.007
UR - https://doi.org/10.1166/jctn.2006.007
ER -