TY - JOUR
T1 - Notes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices
TT -
JF - IJMSI
JO - IJMSI
VL - 5
IS - 2
UR - http://ijmsi.ir/article-1-142-en.html
Y1 - 2010
SP - 61
EP - 68
KW - eccentric connectivity index
KW - Wiener index
KW - comb lattice
KW - compression factor.
N2 - We present explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square and comb lattices with open ends. The formulae for these indices of 2-dimensional square lattices with ends closed at themselves are also derived. The index for closed ends case divided by the same index for open ends case in the limit N →&infin defines a novel quantity we call compression factor. This factor was calculated for both eccentric connectivity and Wiener index for 2- dimensional square lattice.
M3 10.7508/ijmsi.2010.02.007
ER -