Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423418 | Discrete Mathematics | 2013 | 5 Pages |
Abstract
Recently, Bieñ [A. Bieñ, The problem of singularity for planar grids, Discrete Math. 311 (2011) 921-931] obtained a recursive formula for the determinant of a grid. Also, recently, Pragel [D. Pragel, Determinants of box products of paths, Discrete Math. 312 (2012) 1844-1847], independently, obtained an explicit formula for this determinant. In this paper, we give a short proof for this problem. Furthermore, applying the same technique, we get explicit formulas for the determinant of a torus, that of a cylinder, and that of a Möbius ladder.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Khodakhast Bibak, Roberto Tauraso,