Enumeration of higher-dimensional paths under restrictions

✍ Scribed by B.R. Handa; S.G. Mohanty

• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 880 KB
• Volume: 26
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(79)90118-3

✦ Synopsis

The enumeration of lattice paths lying between two boundaries in two dimensional space has been done and the explicit expression is a determinant. By considering a natural extension of the boundaries in higher dimensional space, a generalized recurrence relation is established, the solution of which gives the number of paths in higher dimension not crossing the boundaries, in a determinant form.