دوره 5، شماره 2 - ( 8-1389 )
جلد 5 شماره 2 صفحات 68-61 |
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Doslic T, Graovac A, Cataldo F, Ori O. Notes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices. IJMSI 2010; 5 (2) :61-68
URL: http://ijmsi.ir/article-1-142-fa.html
URL: http://ijmsi.ir/article-1-142-fa.html
Notes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices. مجله علوم ریاضی و انفورماتیک. 1389; 5 (2) :61-68
چکیده:
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.
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