Notes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices
Author(s):
Abstract:
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 →∞ defines a novel quantity we call compression factor. This factor was calculated for both eccentric connectivity and Wiener index for 2- dimensional square lattice.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:5 Issue: 2, Nov 2010
Pages:
61 to 68
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