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The polygonal cylinder and its Hosoya polynomial

Abdul Rauf Nizami1, Asim Naseem2, Hafiz Muhammad Waqar Ahmed2
1Faculty of Information Technology, University of Central Punjab, Lahore-Pakistan
2Department of Mathematics, GC University, Lahore-Pakistan

Abstract

We introduce a polygonal cylinder Cm,n, using the Cartesian product of paths Pm and Pn and using topological identification of vertices and edges of two opposite sides of Pm×Pn, and give its Hosoya polynomial, which, depending on odd and even m, is covered in seven separate cases.

Keywords: Polygonal cylinder; Hosoya polynomial