PI INDEX OF SOME BENZENOID GRAPHS
The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = ∑[neu(e|G)+ n ev(e|G)], where neu(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. In this paper, we first compute the PI index of a class of pericondensed benzenoid graphs consisting of n rows, n ≤ 3, of hexagons of various lengths. Finally, we prove that for any connected graph G with exactly m edges, PI(G) ≤ m(m-1) with equality if and only if G is an acyclic graph or a cycle of odd length
Saved in:
Main Authors: | REZA ASHRAFI,ALI, LOGHMAN,AMIR |
---|---|
Format: | Digital revista |
Language: | English |
Published: |
Sociedad Chilena de Química
2006
|
Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0717-97072006000300008 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Commuting graph of CA−groups
by: Torktaz,Mehdi, et al.
Published: (2023) -
Zero forcing in Benzenoid network
by: Anitha,J., et al.
Published: (2019) -
Molecular descriptors of benzenoid systems
by: Idrees,Nazeran, et al.
Published: (2017) -
Redefined Zagreb indices of Rhombic, triangular, Hourglass and Jagged-rectangle benzenoid systems
by: Mohammed,Mohanad A., et al.
Published: (2020) -
Advances in the Theory of Benzenoid Hydrocarbons II [electronic resource] /
by: Gutman, Ivan. editor., et al.
Published: (1992)